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Finding the Fourth Proportional to 16,366.32, 22,582.80 and 9,290.16

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Solution

The fourth proportional to 16,366.32, 22,582.80 and 9,290.16 is: 12,818.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366.32 : 22,582.80 = 9,290.16 : x
  2. Step 2: Convert to fraction form
    16,366.32/22,582.80 = 9,290.16/x
  3. Step 3: Cross multiply
    16,366.32x = 22,582.80 × 9,290.16
  4. Step 4: Simplify right side
    16,366.32x = 209,797,825.25
  5. Step 5: Solve for x
    x = 209,797,825.25/16,366.32
  6. Step 6: Final answer
    x = 12,818.88

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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.