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Finding the Fourth Proportional to 16,497.32, 22,770.48 and 9,427.90

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Solution

The fourth proportional to 16,497.32, 22,770.48 and 9,427.90 is: 13,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.32 : 22,770.48 = 9,427.90 : x
  2. Step 2: Convert to fraction form
    16,497.32/22,770.48 = 9,427.90/x
  3. Step 3: Cross multiply
    16,497.32x = 22,770.48 × 9,427.90
  4. Step 4: Simplify right side
    16,497.32x = 214,677,808.39
  5. Step 5: Solve for x
    x = 214,677,808.39/16,497.32
  6. Step 6: Final answer
    x = 13,012.89

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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.