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Finding the Fourth Proportional to 16,301.40, 24,452.16 and 3,989.40

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Solution

The fourth proportional to 16,301.40, 24,452.16 and 3,989.40 is: 5,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.40 : 24,452.16 = 3,989.40 : x
  2. Step 2: Convert to fraction form
    16,301.40/24,452.16 = 3,989.40/x
  3. Step 3: Cross multiply
    16,301.40x = 24,452.16 × 3,989.40
  4. Step 4: Simplify right side
    16,301.40x = 97,549,447.10
  5. Step 5: Solve for x
    x = 97,549,447.10/16,301.40
  6. Step 6: Final answer
    x = 5,984.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.