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Finding the Fourth Proportional to 16,586.30, 22,888.65 and 9,032.48

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Solution

The fourth proportional to 16,586.30, 22,888.65 and 9,032.48 is: 12,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.30 : 22,888.65 = 9,032.48 : x
  2. Step 2: Convert to fraction form
    16,586.30/22,888.65 = 9,032.48/x
  3. Step 3: Cross multiply
    16,586.30x = 22,888.65 × 9,032.48
  4. Step 4: Simplify right side
    16,586.30x = 206,741,273.35
  5. Step 5: Solve for x
    x = 206,741,273.35/16,586.30
  6. Step 6: Final answer
    x = 12,464.58

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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.