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Finding the Fourth Proportional to 12,032.34, 18,041.90 and 3,710.04

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Solution

The fourth proportional to 12,032.34, 18,041.90 and 3,710.04 is: 5,563.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032.34 : 18,041.90 = 3,710.04 : x
  2. Step 2: Convert to fraction form
    12,032.34/18,041.90 = 3,710.04/x
  3. Step 3: Cross multiply
    12,032.34x = 18,041.90 × 3,710.04
  4. Step 4: Simplify right side
    12,032.34x = 66,936,170.68
  5. Step 5: Solve for x
    x = 66,936,170.68/12,032.34
  6. Step 6: Final answer
    x = 5,563.02

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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.