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Finding the Fourth Proportional to 24,042.78, 36,061.38 and 6,513.93

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Solution

The fourth proportional to 24,042.78, 36,061.38 and 6,513.93 is: 9,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,042.78 : 36,061.38 = 6,513.93 : x
  2. Step 2: Convert to fraction form
    24,042.78/36,061.38 = 6,513.93/x
  3. Step 3: Cross multiply
    24,042.78x = 36,061.38 × 6,513.93
  4. Step 4: Simplify right side
    24,042.78x = 234,901,305.02
  5. Step 5: Solve for x
    x = 234,901,305.02/24,042.78
  6. Step 6: Final answer
    x = 9,770.14

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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.