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Finding the Fourth Proportional to 15,742.96, 21,726.36 and 9,118.96

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Solution

The fourth proportional to 15,742.96, 21,726.36 and 9,118.96 is: 12,584.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,742.96 : 21,726.36 = 9,118.96 : x
  2. Step 2: Convert to fraction form
    15,742.96/21,726.36 = 9,118.96/x
  3. Step 3: Cross multiply
    15,742.96x = 21,726.36 × 9,118.96
  4. Step 4: Simplify right side
    15,742.96x = 198,121,807.79
  5. Step 5: Solve for x
    x = 198,121,807.79/15,742.96
  6. Step 6: Final answer
    x = 12,584.79

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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.