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Finding the Fourth Proportional to 15,677.28, 23,498.64 and 7,452

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Solution

The fourth proportional to 15,677.28, 23,498.64 and 7,452 is: 11,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.28 : 23,498.64 = 7,452 : x
  2. Step 2: Convert to fraction form
    15,677.28/23,498.64 = 7,452/x
  3. Step 3: Cross multiply
    15,677.28x = 23,498.64 × 7,452
  4. Step 4: Simplify right side
    15,677.28x = 175,111,865.28
  5. Step 5: Solve for x
    x = 175,111,865.28/15,677.28
  6. Step 6: Final answer
    x = 11,169.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.