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Finding the Fourth Proportional to 23,772.93, 32,807.12 and 13,162.94

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Solution

The fourth proportional to 23,772.93, 32,807.12 and 13,162.94 is: 18,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,772.93 : 32,807.12 = 13,162.94 : x
  2. Step 2: Convert to fraction form
    23,772.93/32,807.12 = 13,162.94/x
  3. Step 3: Cross multiply
    23,772.93x = 32,807.12 × 13,162.94
  4. Step 4: Simplify right side
    23,772.93x = 431,838,152.13
  5. Step 5: Solve for x
    x = 431,838,152.13/23,772.93
  6. Step 6: Final answer
    x = 18,165.12

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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.