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Finding the Fourth Proportional to 16,400.32, 22,630.28 and 9,325.20

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Solution

The fourth proportional to 16,400.32, 22,630.28 and 9,325.20 is: 12,867.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.32 : 22,630.28 = 9,325.20 : x
  2. Step 2: Convert to fraction form
    16,400.32/22,630.28 = 9,325.20/x
  3. Step 3: Cross multiply
    16,400.32x = 22,630.28 × 9,325.20
  4. Step 4: Simplify right side
    16,400.32x = 211,031,887.06
  5. Step 5: Solve for x
    x = 211,031,887.06/16,400.32
  6. Step 6: Final answer
    x = 12,867.55

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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.