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Finding the Fourth Proportional to 23,254.29, 32,089.50 and 12,643.83

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Solution

The fourth proportional to 23,254.29, 32,089.50 and 12,643.83 is: 17,447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,254.29 : 32,089.50 = 12,643.83 : x
  2. Step 2: Convert to fraction form
    23,254.29/32,089.50 = 12,643.83/x
  3. Step 3: Cross multiply
    23,254.29x = 32,089.50 × 12,643.83
  4. Step 4: Simplify right side
    23,254.29x = 405,734,182.79
  5. Step 5: Solve for x
    x = 405,734,182.79/23,254.29
  6. Step 6: Final answer
    x = 17,447.71

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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.