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Finding the Fourth Proportional to 16,214.64, 22,373.04 and 9,922.56

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Solution

The fourth proportional to 16,214.64, 22,373.04 and 9,922.56 is: 13,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.64 : 22,373.04 = 9,922.56 : x
  2. Step 2: Convert to fraction form
    16,214.64/22,373.04 = 9,922.56/x
  3. Step 3: Cross multiply
    16,214.64x = 22,373.04 × 9,922.56
  4. Step 4: Simplify right side
    16,214.64x = 221,997,831.78
  5. Step 5: Solve for x
    x = 221,997,831.78/16,214.64
  6. Step 6: Final answer
    x = 13,691.20

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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.