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Finding the Fourth Proportional to 19,601.20, 29,329.80 and 14,417.20

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Solution

The fourth proportional to 19,601.20, 29,329.80 and 14,417.20 is: 21,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,601.20 : 29,329.80 = 14,417.20 : x
  2. Step 2: Convert to fraction form
    19,601.20/29,329.80 = 14,417.20/x
  3. Step 3: Cross multiply
    19,601.20x = 29,329.80 × 14,417.20
  4. Step 4: Simplify right side
    19,601.20x = 422,853,592.56
  5. Step 5: Solve for x
    x = 422,853,592.56/19,601.20
  6. Step 6: Final answer
    x = 21,572.84

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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.