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Finding the Fourth Proportional to 23,416.47, 32,314.71 and 12,806.10

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Solution

The fourth proportional to 23,416.47, 32,314.71 and 12,806.10 is: 17,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.47 : 32,314.71 = 12,806.10 : x
  2. Step 2: Convert to fraction form
    23,416.47/32,314.71 = 12,806.10/x
  3. Step 3: Cross multiply
    23,416.47x = 32,314.71 × 12,806.10
  4. Step 4: Simplify right side
    23,416.47x = 413,825,343.70
  5. Step 5: Solve for x
    x = 413,825,343.70/23,416.47
  6. Step 6: Final answer
    x = 17,672.41

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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.