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Finding the Fourth Proportional to 25,625.50, 38,418.06 and 9,827.50

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Solution

The fourth proportional to 25,625.50, 38,418.06 and 9,827.50 is: 14,733.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,625.50 : 38,418.06 = 9,827.50 : x
  2. Step 2: Convert to fraction form
    25,625.50/38,418.06 = 9,827.50/x
  3. Step 3: Cross multiply
    25,625.50x = 38,418.06 × 9,827.50
  4. Step 4: Simplify right side
    25,625.50x = 377,553,484.65
  5. Step 5: Solve for x
    x = 377,553,484.65/25,625.50
  6. Step 6: Final answer
    x = 14,733.51

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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.