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Finding the Fourth Proportional to 12,174.08, 18,259.90 and 3,409.07

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Solution

The fourth proportional to 12,174.08, 18,259.90 and 3,409.07 is: 5,113.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,174.08 : 18,259.90 = 3,409.07 : x
  2. Step 2: Convert to fraction form
    12,174.08/18,259.90 = 3,409.07/x
  3. Step 3: Cross multiply
    12,174.08x = 18,259.90 × 3,409.07
  4. Step 4: Simplify right side
    12,174.08x = 62,249,177.47
  5. Step 5: Solve for x
    x = 62,249,177.47/12,174.08
  6. Step 6: Final answer
    x = 5,113.26

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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.