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Finding the Fourth Proportional to 23,496.92, 32,423.16 and 12,886.46

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Solution

The fourth proportional to 23,496.92, 32,423.16 and 12,886.46 is: 17,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.92 : 32,423.16 = 12,886.46 : x
  2. Step 2: Convert to fraction form
    23,496.92/32,423.16 = 12,886.46/x
  3. Step 3: Cross multiply
    23,496.92x = 32,423.16 × 12,886.46
  4. Step 4: Simplify right side
    23,496.92x = 417,819,754.41
  5. Step 5: Solve for x
    x = 417,819,754.41/23,496.92
  6. Step 6: Final answer
    x = 17,781.89

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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.