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Finding the Fourth Proportional to 24,547.20, 36,835.20 and 8,966.40

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Solution

The fourth proportional to 24,547.20, 36,835.20 and 8,966.40 is: 13,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.20 : 36,835.20 = 8,966.40 : x
  2. Step 2: Convert to fraction form
    24,547.20/36,835.20 = 8,966.40/x
  3. Step 3: Cross multiply
    24,547.20x = 36,835.20 × 8,966.40
  4. Step 4: Simplify right side
    24,547.20x = 330,279,137.28
  5. Step 5: Solve for x
    x = 330,279,137.28/24,547.20
  6. Step 6: Final answer
    x = 13,454.86

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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.