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Finding the Fourth Proportional to 19,666.85, 27,139.46 and 10,714.41

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Solution

The fourth proportional to 19,666.85, 27,139.46 and 10,714.41 is: 14,785.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.85 : 27,139.46 = 10,714.41 : x
  2. Step 2: Convert to fraction form
    19,666.85/27,139.46 = 10,714.41/x
  3. Step 3: Cross multiply
    19,666.85x = 27,139.46 × 10,714.41
  4. Step 4: Simplify right side
    19,666.85x = 290,783,248.05
  5. Step 5: Solve for x
    x = 290,783,248.05/19,666.85
  6. Step 6: Final answer
    x = 14,785.45

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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.