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Finding the Fourth Proportional to 15,694.50, 21,658.30 and 9,406.87

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Solution

The fourth proportional to 15,694.50, 21,658.30 and 9,406.87 is: 12,981.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.50 : 21,658.30 = 9,406.87 : x
  2. Step 2: Convert to fraction form
    15,694.50/21,658.30 = 9,406.87/x
  3. Step 3: Cross multiply
    15,694.50x = 21,658.30 × 9,406.87
  4. Step 4: Simplify right side
    15,694.50x = 203,736,812.52
  5. Step 5: Solve for x
    x = 203,736,812.52/15,694.50
  6. Step 6: Final answer
    x = 12,981.41

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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.