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Finding the Fourth Proportional to 15,588.76, 23,375.56 and 5,197

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Solution

The fourth proportional to 15,588.76, 23,375.56 and 5,197 is: 7,792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,588.76 : 23,375.56 = 5,197 : x
  2. Step 2: Convert to fraction form
    15,588.76/23,375.56 = 5,197/x
  3. Step 3: Cross multiply
    15,588.76x = 23,375.56 × 5,197
  4. Step 4: Simplify right side
    15,588.76x = 121,482,785.32
  5. Step 5: Solve for x
    x = 121,482,785.32/15,588.76
  6. Step 6: Final answer
    x = 7,792.97

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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.