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Finding the Fourth Proportional to 15,658.62, 23,493.87 and 9,422.94

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Solution

The fourth proportional to 15,658.62, 23,493.87 and 9,422.94 is: 14,137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.62 : 23,493.87 = 9,422.94 : x
  2. Step 2: Convert to fraction form
    15,658.62/23,493.87 = 9,422.94/x
  3. Step 3: Cross multiply
    15,658.62x = 23,493.87 × 9,422.94
  4. Step 4: Simplify right side
    15,658.62x = 221,381,327.38
  5. Step 5: Solve for x
    x = 221,381,327.38/15,658.62
  6. Step 6: Final answer
    x = 14,137.98

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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.