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Finding the Fourth Proportional to 15,842.67, 21,862.44 and 9,036.53

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Solution

The fourth proportional to 15,842.67, 21,862.44 and 9,036.53 is: 12,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.67 : 21,862.44 = 9,036.53 : x
  2. Step 2: Convert to fraction form
    15,842.67/21,862.44 = 9,036.53/x
  3. Step 3: Cross multiply
    15,842.67x = 21,862.44 × 9,036.53
  4. Step 4: Simplify right side
    15,842.67x = 197,560,567.61
  5. Step 5: Solve for x
    x = 197,560,567.61/15,842.67
  6. Step 6: Final answer
    x = 12,470.16

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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.