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Finding the Fourth Proportional to 16,567.47, 22,856.99 and 9,853.38

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Solution

The fourth proportional to 16,567.47, 22,856.99 and 9,853.38 is: 13,594.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.47 : 22,856.99 = 9,853.38 : x
  2. Step 2: Convert to fraction form
    16,567.47/22,856.99 = 9,853.38/x
  3. Step 3: Cross multiply
    16,567.47x = 22,856.99 × 9,853.38
  4. Step 4: Simplify right side
    16,567.47x = 225,218,558.86
  5. Step 5: Solve for x
    x = 225,218,558.86/16,567.47
  6. Step 6: Final answer
    x = 13,594.02

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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.