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Finding the Fourth Proportional to 16,326.16, 22,535.24 and 9,257.28

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Solution

The fourth proportional to 16,326.16, 22,535.24 and 9,257.28 is: 12,777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.16 : 22,535.24 = 9,257.28 : x
  2. Step 2: Convert to fraction form
    16,326.16/22,535.24 = 9,257.28/x
  3. Step 3: Cross multiply
    16,326.16x = 22,535.24 × 9,257.28
  4. Step 4: Simplify right side
    16,326.16x = 208,615,026.55
  5. Step 5: Solve for x
    x = 208,615,026.55/16,326.16
  6. Step 6: Final answer
    x = 12,777.96

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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.