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Finding the Fourth Proportional to 16,326.11, 22,532.25 and 9,252.98

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Solution

The fourth proportional to 16,326.11, 22,532.25 and 9,252.98 is: 12,770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.11 : 22,532.25 = 9,252.98 : x
  2. Step 2: Convert to fraction form
    16,326.11/22,532.25 = 9,252.98/x
  3. Step 3: Cross multiply
    16,326.11x = 22,532.25 × 9,252.98
  4. Step 4: Simplify right side
    16,326.11x = 208,490,565.86
  5. Step 5: Solve for x
    x = 208,490,565.86/16,326.11
  6. Step 6: Final answer
    x = 12,770.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.