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Finding the Fourth Proportional to 29,147.78, 43,688.86 and 11,597.10

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Solution

The fourth proportional to 29,147.78, 43,688.86 and 11,597.10 is: 17,382.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,147.78 : 43,688.86 = 11,597.10 : x
  2. Step 2: Convert to fraction form
    29,147.78/43,688.86 = 11,597.10/x
  3. Step 3: Cross multiply
    29,147.78x = 43,688.86 × 11,597.10
  4. Step 4: Simplify right side
    29,147.78x = 506,664,078.31
  5. Step 5: Solve for x
    x = 506,664,078.31/29,147.78
  6. Step 6: Final answer
    x = 17,382.60

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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.