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Finding the Fourth Proportional to 15,658.30, 23,488.97 and 4,564.74

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Solution

The fourth proportional to 15,658.30, 23,488.97 and 4,564.74 is: 6,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.30 : 23,488.97 = 4,564.74 : x
  2. Step 2: Convert to fraction form
    15,658.30/23,488.97 = 4,564.74/x
  3. Step 3: Cross multiply
    15,658.30x = 23,488.97 × 4,564.74
  4. Step 4: Simplify right side
    15,658.30x = 107,221,040.92
  5. Step 5: Solve for x
    x = 107,221,040.92/15,658.30
  6. Step 6: Final answer
    x = 6,847.55

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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.