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Finding the Fourth Proportional to 16,718.75, 25,064.14 and 6,865.10

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Solution

The fourth proportional to 16,718.75, 25,064.14 and 6,865.10 is: 10,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,718.75 : 25,064.14 = 6,865.10 : x
  2. Step 2: Convert to fraction form
    16,718.75/25,064.14 = 6,865.10/x
  3. Step 3: Cross multiply
    16,718.75x = 25,064.14 × 6,865.10
  4. Step 4: Simplify right side
    16,718.75x = 172,067,827.51
  5. Step 5: Solve for x
    x = 172,067,827.51/16,718.75
  6. Step 6: Final answer
    x = 10,291.91

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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.