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Finding the Fourth Proportional to 16,560.31, 22,853.24 and 9,108.31

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Solution

The fourth proportional to 16,560.31, 22,853.24 and 9,108.31 is: 12,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,560.31 : 22,853.24 = 9,108.31 : x
  2. Step 2: Convert to fraction form
    16,560.31/22,853.24 = 9,108.31/x
  3. Step 3: Cross multiply
    16,560.31x = 22,853.24 × 9,108.31
  4. Step 4: Simplify right side
    16,560.31x = 208,154,394.42
  5. Step 5: Solve for x
    x = 208,154,394.42/16,560.31
  6. Step 6: Final answer
    x = 12,569.47

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1.5x scale

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.