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Finding the Fourth Proportional to 19,909.53, 29,868.75 and 5,869.40

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Solution

The fourth proportional to 19,909.53, 29,868.75 and 5,869.40 is: 8,805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.53 : 29,868.75 = 5,869.40 : x
  2. Step 2: Convert to fraction form
    19,909.53/29,868.75 = 5,869.40/x
  3. Step 3: Cross multiply
    19,909.53x = 29,868.75 × 5,869.40
  4. Step 4: Simplify right side
    19,909.53x = 175,311,491.91
  5. Step 5: Solve for x
    x = 175,311,491.91/19,909.53
  6. Step 6: Final answer
    x = 8,805.41

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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.