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Finding the Fourth Proportional to 13,565.70, 18,719.64 and 7,596

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Solution

The fourth proportional to 13,565.70, 18,719.64 and 7,596 is: 10,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.70 : 18,719.64 = 7,596 : x
  2. Step 2: Convert to fraction form
    13,565.70/18,719.64 = 7,596/x
  3. Step 3: Cross multiply
    13,565.70x = 18,719.64 × 7,596
  4. Step 4: Simplify right side
    13,565.70x = 142,194,385.44
  5. Step 5: Solve for x
    x = 142,194,385.44/13,565.70
  6. Step 6: Final answer
    x = 10,481.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.