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Finding the Fourth Proportional to 12,378.52, 18,567.72 and 4,481

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Solution

The fourth proportional to 12,378.52, 18,567.72 and 4,481 is: 6,721.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.52 : 18,567.72 = 4,481 : x
  2. Step 2: Convert to fraction form
    12,378.52/18,567.72 = 4,481/x
  3. Step 3: Cross multiply
    12,378.52x = 18,567.72 × 4,481
  4. Step 4: Simplify right side
    12,378.52x = 83,201,953.32
  5. Step 5: Solve for x
    x = 83,201,953.32/12,378.52
  6. Step 6: Final answer
    x = 6,721.48

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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.