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Finding the Fourth Proportional to 24,037.31, 36,007 and 19,610.75

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Solution

The fourth proportional to 24,037.31, 36,007 and 19,610.75 is: 29,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,037.31 : 36,007 = 19,610.75 : x
  2. Step 2: Convert to fraction form
    24,037.31/36,007 = 19,610.75/x
  3. Step 3: Cross multiply
    24,037.31x = 36,007 × 19,610.75
  4. Step 4: Simplify right side
    24,037.31x = 706,124,275.25
  5. Step 5: Solve for x
    x = 706,124,275.25/24,037.31
  6. Step 6: Final answer
    x = 29,376.18

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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.