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Finding the Fourth Proportional to 22,523, 31,089.03 and 14,139.50

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Solution

The fourth proportional to 22,523, 31,089.03 and 14,139.50 is: 19,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523 : 31,089.03 = 14,139.50 : x
  2. Step 2: Convert to fraction form
    22,523/31,089.03 = 14,139.50/x
  3. Step 3: Cross multiply
    22,523x = 31,089.03 × 14,139.50
  4. Step 4: Simplify right side
    22,523x = 439,583,339.69
  5. Step 5: Solve for x
    x = 439,583,339.69/22,523
  6. Step 6: Final answer
    x = 19,517.09

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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.