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Finding the Fourth Proportional to 27,648.18, 41,472.25 and 6,871.68

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Solution

The fourth proportional to 27,648.18, 41,472.25 and 6,871.68 is: 10,307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.18 : 41,472.25 = 6,871.68 : x
  2. Step 2: Convert to fraction form
    27,648.18/41,472.25 = 6,871.68/x
  3. Step 3: Cross multiply
    27,648.18x = 41,472.25 × 6,871.68
  4. Step 4: Simplify right side
    27,648.18x = 284,984,030.88
  5. Step 5: Solve for x
    x = 284,984,030.88/27,648.18
  6. Step 6: Final answer
    x = 10,307.52

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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.