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Finding the Fourth Proportional to 23,253.66, 32,089.86 and 12,643.20

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Solution

The fourth proportional to 23,253.66, 32,089.86 and 12,643.20 is: 17,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253.66 : 32,089.86 = 12,643.20 : x
  2. Step 2: Convert to fraction form
    23,253.66/32,089.86 = 12,643.20/x
  3. Step 3: Cross multiply
    23,253.66x = 32,089.86 × 12,643.20
  4. Step 4: Simplify right side
    23,253.66x = 405,718,517.95
  5. Step 5: Solve for x
    x = 405,718,517.95/23,253.66
  6. Step 6: Final answer
    x = 17,447.51

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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.