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Finding the Fourth Proportional to 10,399.38, 15,574.68 and 9,024

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Solution

The fourth proportional to 10,399.38, 15,574.68 and 9,024 is: 13,514.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.38 : 15,574.68 = 9,024 : x
  2. Step 2: Convert to fraction form
    10,399.38/15,574.68 = 9,024/x
  3. Step 3: Cross multiply
    10,399.38x = 15,574.68 × 9,024
  4. Step 4: Simplify right side
    10,399.38x = 140,545,912.32
  5. Step 5: Solve for x
    x = 140,545,912.32/10,399.38
  6. Step 6: Final answer
    x = 13,514.84

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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.