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Finding the Fourth Proportional to 20,422.50, 28,182.51 and 11,470.98

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Solution

The fourth proportional to 20,422.50, 28,182.51 and 11,470.98 is: 15,829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.50 : 28,182.51 = 11,470.98 : x
  2. Step 2: Convert to fraction form
    20,422.50/28,182.51 = 11,470.98/x
  3. Step 3: Cross multiply
    20,422.50x = 28,182.51 × 11,470.98
  4. Step 4: Simplify right side
    20,422.50x = 323,281,008.56
  5. Step 5: Solve for x
    x = 323,281,008.56/20,422.50
  6. Step 6: Final answer
    x = 15,829.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.