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Finding the Fourth Proportional to 15,725.64, 23,565.28 and 11,758.28

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Solution

The fourth proportional to 15,725.64, 23,565.28 and 11,758.28 is: 17,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,725.64 : 23,565.28 = 11,758.28 : x
  2. Step 2: Convert to fraction form
    15,725.64/23,565.28 = 11,758.28/x
  3. Step 3: Cross multiply
    15,725.64x = 23,565.28 × 11,758.28
  4. Step 4: Simplify right side
    15,725.64x = 277,087,160.52
  5. Step 5: Solve for x
    x = 277,087,160.52/15,725.64
  6. Step 6: Final answer
    x = 17,620.09

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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.