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Finding the Fourth Proportional to 24,656.16, 34,025.36 and 13,478.16

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Solution

The fourth proportional to 24,656.16, 34,025.36 and 13,478.16 is: 18,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.16 : 34,025.36 = 13,478.16 : x
  2. Step 2: Convert to fraction form
    24,656.16/34,025.36 = 13,478.16/x
  3. Step 3: Cross multiply
    24,656.16x = 34,025.36 × 13,478.16
  4. Step 4: Simplify right side
    24,656.16x = 458,599,246.14
  5. Step 5: Solve for x
    x = 458,599,246.14/24,656.16
  6. Step 6: Final answer
    x = 18,599.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.