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Finding the Fourth Proportional to 22,518, 31,082.13 and 14,134.50

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Solution

The fourth proportional to 22,518, 31,082.13 and 14,134.50 is: 19,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 31,082.13 = 14,134.50 : x
  2. Step 2: Convert to fraction form
    22,518/31,082.13 = 14,134.50/x
  3. Step 3: Cross multiply
    22,518x = 31,082.13 × 14,134.50
  4. Step 4: Simplify right side
    22,518x = 439,330,366.49
  5. Step 5: Solve for x
    x = 439,330,366.49/22,518
  6. Step 6: Final answer
    x = 19,510.19

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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.