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Finding the Fourth Proportional to 19,609.38, 29,417.72 and 6,462.68

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Solution

The fourth proportional to 19,609.38, 29,417.72 and 6,462.68 is: 9,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.38 : 29,417.72 = 6,462.68 : x
  2. Step 2: Convert to fraction form
    19,609.38/29,417.72 = 6,462.68/x
  3. Step 3: Cross multiply
    19,609.38x = 29,417.72 × 6,462.68
  4. Step 4: Simplify right side
    19,609.38x = 190,117,131.29
  5. Step 5: Solve for x
    x = 190,117,131.29/19,609.38
  6. Step 6: Final answer
    x = 9,695.21

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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.