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Finding the Fourth Proportional to 19,763.66, 29,642.39 and 6,437.14

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Solution

The fourth proportional to 19,763.66, 29,642.39 and 6,437.14 is: 9,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,763.66 : 29,642.39 = 6,437.14 : x
  2. Step 2: Convert to fraction form
    19,763.66/29,642.39 = 6,437.14/x
  3. Step 3: Cross multiply
    19,763.66x = 29,642.39 × 6,437.14
  4. Step 4: Simplify right side
    19,763.66x = 190,812,132.21
  5. Step 5: Solve for x
    x = 190,812,132.21/19,763.66
  6. Step 6: Final answer
    x = 9,654.69

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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.