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Finding the Fourth Proportional to 12,658.38, 18,967.95 and 9,535.02

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Solution

The fourth proportional to 12,658.38, 18,967.95 and 9,535.02 is: 14,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.38 : 18,967.95 = 9,535.02 : x
  2. Step 2: Convert to fraction form
    12,658.38/18,967.95 = 9,535.02/x
  3. Step 3: Cross multiply
    12,658.38x = 18,967.95 × 9,535.02
  4. Step 4: Simplify right side
    12,658.38x = 180,859,782.61
  5. Step 5: Solve for x
    x = 180,859,782.61/12,658.38
  6. Step 6: Final answer
    x = 14,287.75

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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.