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Finding the Fourth Proportional to 12,169.18, 18,256.52 and 4,378

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Solution

The fourth proportional to 12,169.18, 18,256.52 and 4,378 is: 6,567.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.18 : 18,256.52 = 4,378 : x
  2. Step 2: Convert to fraction form
    12,169.18/18,256.52 = 4,378/x
  3. Step 3: Cross multiply
    12,169.18x = 18,256.52 × 4,378
  4. Step 4: Simplify right side
    12,169.18x = 79,927,044.56
  5. Step 5: Solve for x
    x = 79,927,044.56/12,169.18
  6. Step 6: Final answer
    x = 6,567.99

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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.