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Finding the Fourth Proportional to 16,570, 22,866.68 and 9,016.40

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Solution

The fourth proportional to 16,570, 22,866.68 and 9,016.40 is: 12,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,570 : 22,866.68 = 9,016.40 : x
  2. Step 2: Convert to fraction form
    16,570/22,866.68 = 9,016.40/x
  3. Step 3: Cross multiply
    16,570x = 22,866.68 × 9,016.40
  4. Step 4: Simplify right side
    16,570x = 206,175,133.55
  5. Step 5: Solve for x
    x = 206,175,133.55/16,570
  6. Step 6: Final answer
    x = 12,442.68

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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.