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Finding the Fourth Proportional to 15,836.40, 23,758.20 and 9,259.20

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Solution

The fourth proportional to 15,836.40, 23,758.20 and 9,259.20 is: 13,890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,836.40 : 23,758.20 = 9,259.20 : x
  2. Step 2: Convert to fraction form
    15,836.40/23,758.20 = 9,259.20/x
  3. Step 3: Cross multiply
    15,836.40x = 23,758.20 × 9,259.20
  4. Step 4: Simplify right side
    15,836.40x = 219,981,925.44
  5. Step 5: Solve for x
    x = 219,981,925.44/15,836.40
  6. Step 6: Final answer
    x = 13,890.90

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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.