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Finding the Fourth Proportional to 25,604.72, 38,403.84 and 10,033.28

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Solution

The fourth proportional to 25,604.72, 38,403.84 and 10,033.28 is: 15,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604.72 : 38,403.84 = 10,033.28 : x
  2. Step 2: Convert to fraction form
    25,604.72/38,403.84 = 10,033.28/x
  3. Step 3: Cross multiply
    25,604.72x = 38,403.84 × 10,033.28
  4. Step 4: Simplify right side
    25,604.72x = 385,316,479.80
  5. Step 5: Solve for x
    x = 385,316,479.80/25,604.72
  6. Step 6: Final answer
    x = 15,048.65

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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.