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Finding the Fourth Proportional to 16,569.68, 22,858.61 and 9,851.49

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Solution

The fourth proportional to 16,569.68, 22,858.61 and 9,851.49 is: 13,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.68 : 22,858.61 = 9,851.49 : x
  2. Step 2: Convert to fraction form
    16,569.68/22,858.61 = 9,851.49/x
  3. Step 3: Cross multiply
    16,569.68x = 22,858.61 × 9,851.49
  4. Step 4: Simplify right side
    16,569.68x = 225,191,318.57
  5. Step 5: Solve for x
    x = 225,191,318.57/16,569.68
  6. Step 6: Final answer
    x = 13,590.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.