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Finding the Fourth Proportional to 19,681.65, 29,519.70 and 5,642.87

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Solution

The fourth proportional to 19,681.65, 29,519.70 and 5,642.87 is: 8,463.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,681.65 : 29,519.70 = 5,642.87 : x
  2. Step 2: Convert to fraction form
    19,681.65/29,519.70 = 5,642.87/x
  3. Step 3: Cross multiply
    19,681.65x = 29,519.70 × 5,642.87
  4. Step 4: Simplify right side
    19,681.65x = 166,575,829.54
  5. Step 5: Solve for x
    x = 166,575,829.54/19,681.65
  6. Step 6: Final answer
    x = 8,463.51

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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.