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Finding the Fourth Proportional to 23,566.68, 32,522.13 and 12,957

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Solution

The fourth proportional to 23,566.68, 32,522.13 and 12,957 is: 17,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,566.68 : 32,522.13 = 12,957 : x
  2. Step 2: Convert to fraction form
    23,566.68/32,522.13 = 12,957/x
  3. Step 3: Cross multiply
    23,566.68x = 32,522.13 × 12,957
  4. Step 4: Simplify right side
    23,566.68x = 421,389,238.41
  5. Step 5: Solve for x
    x = 421,389,238.41/23,566.68
  6. Step 6: Final answer
    x = 17,880.72

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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.