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Finding the Fourth Proportional to 20,188.64, 30,281.68 and 9,666.16

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Solution

The fourth proportional to 20,188.64, 30,281.68 and 9,666.16 is: 14,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188.64 : 30,281.68 = 9,666.16 : x
  2. Step 2: Convert to fraction form
    20,188.64/30,281.68 = 9,666.16/x
  3. Step 3: Cross multiply
    20,188.64x = 30,281.68 × 9,666.16
  4. Step 4: Simplify right side
    20,188.64x = 292,707,563.95
  5. Step 5: Solve for x
    x = 292,707,563.95/20,188.64
  6. Step 6: Final answer
    x = 14,498.63

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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.