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Finding the Fourth Proportional to 15,897.38, 23,815.04 and 7,565.94

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Solution

The fourth proportional to 15,897.38, 23,815.04 and 7,565.94 is: 11,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,897.38 : 23,815.04 = 7,565.94 : x
  2. Step 2: Convert to fraction form
    15,897.38/23,815.04 = 7,565.94/x
  3. Step 3: Cross multiply
    15,897.38x = 23,815.04 × 7,565.94
  4. Step 4: Simplify right side
    15,897.38x = 180,183,125.91
  5. Step 5: Solve for x
    x = 180,183,125.91/15,897.38
  6. Step 6: Final answer
    x = 11,334.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.