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Finding the Fourth Proportional to 20,488.80, 30,733.20 and 14,632.50

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Solution

The fourth proportional to 20,488.80, 30,733.20 and 14,632.50 is: 21,948.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,488.80 : 30,733.20 = 14,632.50 : x
  2. Step 2: Convert to fraction form
    20,488.80/30,733.20 = 14,632.50/x
  3. Step 3: Cross multiply
    20,488.80x = 30,733.20 × 14,632.50
  4. Step 4: Simplify right side
    20,488.80x = 449,703,549
  5. Step 5: Solve for x
    x = 449,703,549/20,488.80
  6. Step 6: Final answer
    x = 21,948.75

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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.