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Finding the Fourth Proportional to 16,002.30, 22,436.03 and 16,002.30

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Solution

The fourth proportional to 16,002.30, 22,436.03 and 16,002.30 is: 22,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.30 : 22,436.03 = 16,002.30 : x
  2. Step 2: Convert to fraction form
    16,002.30/22,436.03 = 16,002.30/x
  3. Step 3: Cross multiply
    16,002.30x = 22,436.03 × 16,002.30
  4. Step 4: Simplify right side
    16,002.30x = 359,028,082.87
  5. Step 5: Solve for x
    x = 359,028,082.87/16,002.30
  6. Step 6: Final answer
    x = 22,436.03

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.