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Finding the Fourth Proportional to 25,494.40, 38,238.72 and 7,024

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Solution

The fourth proportional to 25,494.40, 38,238.72 and 7,024 is: 10,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,494.40 : 38,238.72 = 7,024 : x
  2. Step 2: Convert to fraction form
    25,494.40/38,238.72 = 7,024/x
  3. Step 3: Cross multiply
    25,494.40x = 38,238.72 × 7,024
  4. Step 4: Simplify right side
    25,494.40x = 268,588,769.28
  5. Step 5: Solve for x
    x = 268,588,769.28/25,494.40
  6. Step 6: Final answer
    x = 10,535.21

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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.