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Finding the Fourth Proportional to 24,038.78, 36,059.45 and 7,410.24

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Solution

The fourth proportional to 24,038.78, 36,059.45 and 7,410.24 is: 11,115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,038.78 : 36,059.45 = 7,410.24 : x
  2. Step 2: Convert to fraction form
    24,038.78/36,059.45 = 7,410.24/x
  3. Step 3: Cross multiply
    24,038.78x = 36,059.45 × 7,410.24
  4. Step 4: Simplify right side
    24,038.78x = 267,209,141.72
  5. Step 5: Solve for x
    x = 267,209,141.72/24,038.78
  6. Step 6: Final answer
    x = 11,115.76

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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.