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Finding the Fourth Proportional to 23,521.59, 32,459.67 and 12,766.23

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Solution

The fourth proportional to 23,521.59, 32,459.67 and 12,766.23 is: 17,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,521.59 : 32,459.67 = 12,766.23 : x
  2. Step 2: Convert to fraction form
    23,521.59/32,459.67 = 12,766.23/x
  3. Step 3: Cross multiply
    23,521.59x = 32,459.67 × 12,766.23
  4. Step 4: Simplify right side
    23,521.59x = 414,387,612.94
  5. Step 5: Solve for x
    x = 414,387,612.94/23,521.59
  6. Step 6: Final answer
    x = 17,617.33

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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.