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Finding the Fourth Proportional to 23,772.66, 32,806.53 and 13,162.47

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Solution

The fourth proportional to 23,772.66, 32,806.53 and 13,162.47 is: 18,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.66 : 32,806.53 = 13,162.47 : x
  2. Step 2: Convert to fraction form
    23,772.66/32,806.53 = 13,162.47/x
  3. Step 3: Cross multiply
    23,772.66x = 32,806.53 × 13,162.47
  4. Step 4: Simplify right side
    23,772.66x = 431,814,966.93
  5. Step 5: Solve for x
    x = 431,814,966.93/23,772.66
  6. Step 6: Final answer
    x = 18,164.35

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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.