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Finding the Fourth Proportional to 24,077.52, 36,116.12 and 6,547.28

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Solution

The fourth proportional to 24,077.52, 36,116.12 and 6,547.28 is: 9,820.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,077.52 : 36,116.12 = 6,547.28 : x
  2. Step 2: Convert to fraction form
    24,077.52/36,116.12 = 6,547.28/x
  3. Step 3: Cross multiply
    24,077.52x = 36,116.12 × 6,547.28
  4. Step 4: Simplify right side
    24,077.52x = 236,462,350.15
  5. Step 5: Solve for x
    x = 236,462,350.15/24,077.52
  6. Step 6: Final answer
    x = 9,820.88

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