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Finding the Fourth Proportional to 13,180.68, 19,773.78 and 5,389.50

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Solution

The fourth proportional to 13,180.68, 19,773.78 and 5,389.50 is: 8,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180.68 : 19,773.78 = 5,389.50 : x
  2. Step 2: Convert to fraction form
    13,180.68/19,773.78 = 5,389.50/x
  3. Step 3: Cross multiply
    13,180.68x = 19,773.78 × 5,389.50
  4. Step 4: Simplify right side
    13,180.68x = 106,570,787.31
  5. Step 5: Solve for x
    x = 106,570,787.31/13,180.68
  6. Step 6: Final answer
    x = 8,085.38

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Why These Related Problems?

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