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Finding the Fourth Proportional to 23,125.48, 31,900.17 and 14,624.98

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Solution

The fourth proportional to 23,125.48, 31,900.17 and 14,624.98 is: 20,174.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125.48 : 31,900.17 = 14,624.98 : x
  2. Step 2: Convert to fraction form
    23,125.48/31,900.17 = 14,624.98/x
  3. Step 3: Cross multiply
    23,125.48x = 31,900.17 × 14,624.98
  4. Step 4: Simplify right side
    23,125.48x = 466,539,348.25
  5. Step 5: Solve for x
    x = 466,539,348.25/23,125.48
  6. Step 6: Final answer
    x = 20,174.26

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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.