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Finding the Fourth Proportional to 12,203.29, 18,304.93 and 3,437.06

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Solution

The fourth proportional to 12,203.29, 18,304.93 and 3,437.06 is: 5,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,203.29 : 18,304.93 = 3,437.06 : x
  2. Step 2: Convert to fraction form
    12,203.29/18,304.93 = 3,437.06/x
  3. Step 3: Cross multiply
    12,203.29x = 18,304.93 × 3,437.06
  4. Step 4: Simplify right side
    12,203.29x = 62,915,142.71
  5. Step 5: Solve for x
    x = 62,915,142.71/12,203.29
  6. Step 6: Final answer
    x = 5,155.59

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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.