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Finding the Fourth Proportional to 16,569.04, 22,865.26 and 9,499.56

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Solution

The fourth proportional to 16,569.04, 22,865.26 and 9,499.56 is: 13,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.04 : 22,865.26 = 9,499.56 : x
  2. Step 2: Convert to fraction form
    16,569.04/22,865.26 = 9,499.56/x
  3. Step 3: Cross multiply
    16,569.04x = 22,865.26 × 9,499.56
  4. Step 4: Simplify right side
    16,569.04x = 217,209,909.29
  5. Step 5: Solve for x
    x = 217,209,909.29/16,569.04
  6. Step 6: Final answer
    x = 13,109.38

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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.