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Finding the Fourth Proportional to 12,202.29, 18,303.71 and 3,437.01

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Solution

The fourth proportional to 12,202.29, 18,303.71 and 3,437.01 is: 5,155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,202.29 : 18,303.71 = 3,437.01 : x
  2. Step 2: Convert to fraction form
    12,202.29/18,303.71 = 3,437.01/x
  3. Step 3: Cross multiply
    12,202.29x = 18,303.71 × 3,437.01
  4. Step 4: Simplify right side
    12,202.29x = 62,910,017.12
  5. Step 5: Solve for x
    x = 62,910,017.12/12,202.29
  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.