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Finding the Fourth Proportional to 15,772.14, 23,658.18 and 6,417.24

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Solution

The fourth proportional to 15,772.14, 23,658.18 and 6,417.24 is: 9,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772.14 : 23,658.18 = 6,417.24 : x
  2. Step 2: Convert to fraction form
    15,772.14/23,658.18 = 6,417.24/x
  3. Step 3: Cross multiply
    15,772.14x = 23,658.18 × 6,417.24
  4. Step 4: Simplify right side
    15,772.14x = 151,820,219.02
  5. Step 5: Solve for x
    x = 151,820,219.02/15,772.14
  6. Step 6: Final answer
    x = 9,625.85

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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.