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Finding the Fourth Proportional to 19,681.38, 29,523.96 and 6,534

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Solution

The fourth proportional to 19,681.38, 29,523.96 and 6,534 is: 9,801.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.38 : 29,523.96 = 6,534 : x
  2. Step 2: Convert to fraction form
    19,681.38/29,523.96 = 6,534/x
  3. Step 3: Cross multiply
    19,681.38x = 29,523.96 × 6,534
  4. Step 4: Simplify right side
    19,681.38x = 192,909,554.64
  5. Step 5: Solve for x
    x = 192,909,554.64/19,681.38
  6. Step 6: Final answer
    x = 9,801.63

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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.