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Finding the Fourth Proportional to 22,741.65, 34,117.20 and 9,594.13

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Solution

The fourth proportional to 22,741.65, 34,117.20 and 9,594.13 is: 14,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,741.65 : 34,117.20 = 9,594.13 : x
  2. Step 2: Convert to fraction form
    22,741.65/34,117.20 = 9,594.13/x
  3. Step 3: Cross multiply
    22,741.65x = 34,117.20 × 9,594.13
  4. Step 4: Simplify right side
    22,741.65x = 327,324,852.04
  5. Step 5: Solve for x
    x = 327,324,852.04/22,741.65
  6. Step 6: Final answer
    x = 14,393.19

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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.