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Finding the Fourth Proportional to 25,015.82, 34,521.82 and 14,407.50

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Solution

The fourth proportional to 25,015.82, 34,521.82 and 14,407.50 is: 19,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,015.82 : 34,521.82 = 14,407.50 : x
  2. Step 2: Convert to fraction form
    25,015.82/34,521.82 = 14,407.50/x
  3. Step 3: Cross multiply
    25,015.82x = 34,521.82 × 14,407.50
  4. Step 4: Simplify right side
    25,015.82x = 497,373,121.65
  5. Step 5: Solve for x
    x = 497,373,121.65/25,015.82
  6. Step 6: Final answer
    x = 19,882.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.