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Finding the Fourth Proportional to 15,926.40, 23,869.92 and 5,526

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Solution

The fourth proportional to 15,926.40, 23,869.92 and 5,526 is: 8,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.40 : 23,869.92 = 5,526 : x
  2. Step 2: Convert to fraction form
    15,926.40/23,869.92 = 5,526/x
  3. Step 3: Cross multiply
    15,926.40x = 23,869.92 × 5,526
  4. Step 4: Simplify right side
    15,926.40x = 131,905,177.92
  5. Step 5: Solve for x
    x = 131,905,177.92/15,926.40
  6. Step 6: Final answer
    x = 8,282.17

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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.