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Finding the Fourth Proportional to 25,107.52, 34,645.90 and 14,497.60

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Solution

The fourth proportional to 25,107.52, 34,645.90 and 14,497.60 is: 20,005.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,107.52 : 34,645.90 = 14,497.60 : x
  2. Step 2: Convert to fraction form
    25,107.52/34,645.90 = 14,497.60/x
  3. Step 3: Cross multiply
    25,107.52x = 34,645.90 × 14,497.60
  4. Step 4: Simplify right side
    25,107.52x = 502,282,399.84
  5. Step 5: Solve for x
    x = 502,282,399.84/25,107.52
  6. Step 6: Final answer
    x = 20,005.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.