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Finding the Fourth Proportional to 18,646.68, 27,970.03 and 12,785.52

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Solution

The fourth proportional to 18,646.68, 27,970.03 and 12,785.52 is: 19,178.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.68 : 27,970.03 = 12,785.52 : x
  2. Step 2: Convert to fraction form
    18,646.68/27,970.03 = 12,785.52/x
  3. Step 3: Cross multiply
    18,646.68x = 27,970.03 × 12,785.52
  4. Step 4: Simplify right side
    18,646.68x = 357,611,377.97
  5. Step 5: Solve for x
    x = 357,611,377.97/18,646.68
  6. Step 6: Final answer
    x = 19,178.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.