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Finding the Fourth Proportional to 23,671.74, 32,666.87 and 12,916.61

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Solution

The fourth proportional to 23,671.74, 32,666.87 and 12,916.61 is: 17,824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671.74 : 32,666.87 = 12,916.61 : x
  2. Step 2: Convert to fraction form
    23,671.74/32,666.87 = 12,916.61/x
  3. Step 3: Cross multiply
    23,671.74x = 32,666.87 × 12,916.61
  4. Step 4: Simplify right side
    23,671.74x = 421,945,219.71
  5. Step 5: Solve for x
    x = 421,945,219.71/23,671.74
  6. Step 6: Final answer
    x = 17,824.85

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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.