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Finding the Fourth Proportional to 19,666.65, 27,139.94 and 10,714.14

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Solution

The fourth proportional to 19,666.65, 27,139.94 and 10,714.14 is: 14,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.65 : 27,139.94 = 10,714.14 : x
  2. Step 2: Convert to fraction form
    19,666.65/27,139.94 = 10,714.14/x
  3. Step 3: Cross multiply
    19,666.65x = 27,139.94 × 10,714.14
  4. Step 4: Simplify right side
    19,666.65x = 290,781,116.75
  5. Step 5: Solve for x
    x = 290,781,116.75/19,666.65
  6. Step 6: Final answer
    x = 14,785.49

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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.