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Finding the Fourth Proportional to 19,507.95, 29,265.17 and 6,854.45

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Solution

The fourth proportional to 19,507.95, 29,265.17 and 6,854.45 is: 10,282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.95 : 29,265.17 = 6,854.45 : x
  2. Step 2: Convert to fraction form
    19,507.95/29,265.17 = 6,854.45/x
  3. Step 3: Cross multiply
    19,507.95x = 29,265.17 × 6,854.45
  4. Step 4: Simplify right side
    19,507.95x = 200,596,463.91
  5. Step 5: Solve for x
    x = 200,596,463.91/19,507.95
  6. Step 6: Final answer
    x = 10,282.81

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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.