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Finding the Fourth Proportional to 20,400.64, 30,582.73 and 9,864.76

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Solution

The fourth proportional to 20,400.64, 30,582.73 and 9,864.76 is: 14,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,400.64 : 30,582.73 = 9,864.76 : x
  2. Step 2: Convert to fraction form
    20,400.64/30,582.73 = 9,864.76/x
  3. Step 3: Cross multiply
    20,400.64x = 30,582.73 × 9,864.76
  4. Step 4: Simplify right side
    20,400.64x = 301,691,291.59
  5. Step 5: Solve for x
    x = 301,691,291.59/20,400.64
  6. Step 6: Final answer
    x = 14,788.32

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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.