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Finding the Fourth Proportional to 13,478.52, 20,218.50 and 4,118.82

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Solution

The fourth proportional to 13,478.52, 20,218.50 and 4,118.82 is: 6,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.52 : 20,218.50 = 4,118.82 : x
  2. Step 2: Convert to fraction form
    13,478.52/20,218.50 = 4,118.82/x
  3. Step 3: Cross multiply
    13,478.52x = 20,218.50 × 4,118.82
  4. Step 4: Simplify right side
    13,478.52x = 83,276,362.17
  5. Step 5: Solve for x
    x = 83,276,362.17/13,478.52
  6. Step 6: Final answer
    x = 6,178.45

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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.