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Finding the Fourth Proportional to 23,387.61, 32,275.77 and 12,777.32

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Solution

The fourth proportional to 23,387.61, 32,275.77 and 12,777.32 is: 17,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,387.61 : 32,275.77 = 12,777.32 : x
  2. Step 2: Convert to fraction form
    23,387.61/32,275.77 = 12,777.32/x
  3. Step 3: Cross multiply
    23,387.61x = 32,275.77 × 12,777.32
  4. Step 4: Simplify right side
    23,387.61x = 412,397,680.16
  5. Step 5: Solve for x
    x = 412,397,680.16/23,387.61
  6. Step 6: Final answer
    x = 17,633.17

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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.