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Finding the Fourth Proportional to 15,987.85, 22,064.74 and 9,182.84

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Solution

The fourth proportional to 15,987.85, 22,064.74 and 9,182.84 is: 12,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,987.85 : 22,064.74 = 9,182.84 : x
  2. Step 2: Convert to fraction form
    15,987.85/22,064.74 = 9,182.84/x
  3. Step 3: Cross multiply
    15,987.85x = 22,064.74 × 9,182.84
  4. Step 4: Simplify right side
    15,987.85x = 202,616,843.78
  5. Step 5: Solve for x
    x = 202,616,843.78/15,987.85
  6. Step 6: Final answer
    x = 12,673.18

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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.