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Finding the Fourth Proportional to 21,470.85, 32,212.98 and 9,634.55

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Solution

The fourth proportional to 21,470.85, 32,212.98 and 9,634.55 is: 14,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,470.85 : 32,212.98 = 9,634.55 : x
  2. Step 2: Convert to fraction form
    21,470.85/32,212.98 = 9,634.55/x
  3. Step 3: Cross multiply
    21,470.85x = 32,212.98 × 9,634.55
  4. Step 4: Simplify right side
    21,470.85x = 310,357,405.39
  5. Step 5: Solve for x
    x = 310,357,405.39/21,470.85
  6. Step 6: Final answer
    x = 14,454.83

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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.