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Finding the Fourth Proportional to 25,803.69, 38,643.20 and 14,676.65

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Solution

The fourth proportional to 25,803.69, 38,643.20 and 14,676.65 is: 21,979.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.69 : 38,643.20 = 14,676.65 : x
  2. Step 2: Convert to fraction form
    25,803.69/38,643.20 = 14,676.65/x
  3. Step 3: Cross multiply
    25,803.69x = 38,643.20 × 14,676.65
  4. Step 4: Simplify right side
    25,803.69x = 567,152,454.68
  5. Step 5: Solve for x
    x = 567,152,454.68/25,803.69
  6. Step 6: Final answer
    x = 21,979.51

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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.