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Finding the Fourth Proportional to 15,456.42, 21,329.87 and 8,742.06

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Solution

The fourth proportional to 15,456.42, 21,329.87 and 8,742.06 is: 12,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.42 : 21,329.87 = 8,742.06 : x
  2. Step 2: Convert to fraction form
    15,456.42/21,329.87 = 8,742.06/x
  3. Step 3: Cross multiply
    15,456.42x = 21,329.87 × 8,742.06
  4. Step 4: Simplify right side
    15,456.42x = 186,466,959.62
  5. Step 5: Solve for x
    x = 186,466,959.62/15,456.42
  6. Step 6: Final answer
    x = 12,064.05

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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.