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Finding the Fourth Proportional to 24,207.40, 36,311.10 and 8,619.40

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Solution

The fourth proportional to 24,207.40, 36,311.10 and 8,619.40 is: 12,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,207.40 : 36,311.10 = 8,619.40 : x
  2. Step 2: Convert to fraction form
    24,207.40/36,311.10 = 8,619.40/x
  3. Step 3: Cross multiply
    24,207.40x = 36,311.10 × 8,619.40
  4. Step 4: Simplify right side
    24,207.40x = 312,979,895.34
  5. Step 5: Solve for x
    x = 312,979,895.34/24,207.40
  6. Step 6: Final answer
    x = 12,929.10

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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.