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Finding the Fourth Proportional to 24,025.40, 36,038.10 and 13,657.40

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Solution

The fourth proportional to 24,025.40, 36,038.10 and 13,657.40 is: 20,486.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,025.40 : 36,038.10 = 13,657.40 : x
  2. Step 2: Convert to fraction form
    24,025.40/36,038.10 = 13,657.40/x
  3. Step 3: Cross multiply
    24,025.40x = 36,038.10 × 13,657.40
  4. Step 4: Simplify right side
    24,025.40x = 492,186,746.94
  5. Step 5: Solve for x
    x = 492,186,746.94/24,025.40
  6. Step 6: Final answer
    x = 20,486.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.