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Finding the Fourth Proportional to 12,202.60, 18,304.70 and 3,437.80

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Solution

The fourth proportional to 12,202.60, 18,304.70 and 3,437.80 is: 5,156.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.60 : 18,304.70 = 3,437.80 : x
  2. Step 2: Convert to fraction form
    12,202.60/18,304.70 = 3,437.80/x
  3. Step 3: Cross multiply
    12,202.60x = 18,304.70 × 3,437.80
  4. Step 4: Simplify right side
    12,202.60x = 62,927,897.66
  5. Step 5: Solve for x
    x = 62,927,897.66/12,202.60
  6. Step 6: Final answer
    x = 5,156.93

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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.