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Finding the Fourth Proportional to 23,116.93, 34,695.05 and 9,086.76

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Solution

The fourth proportional to 23,116.93, 34,695.05 and 9,086.76 is: 13,637.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,116.93 : 34,695.05 = 9,086.76 : x
  2. Step 2: Convert to fraction form
    23,116.93/34,695.05 = 9,086.76/x
  3. Step 3: Cross multiply
    23,116.93x = 34,695.05 × 9,086.76
  4. Step 4: Simplify right side
    23,116.93x = 315,265,547.10
  5. Step 5: Solve for x
    x = 315,265,547.10/23,116.93
  6. Step 6: Final answer
    x = 13,637.87

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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.