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Finding the Fourth Proportional to 22,782.88, 34,175.94 and 6,985.86

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Solution

The fourth proportional to 22,782.88, 34,175.94 and 6,985.86 is: 10,479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.88 : 34,175.94 = 6,985.86 : x
  2. Step 2: Convert to fraction form
    22,782.88/34,175.94 = 6,985.86/x
  3. Step 3: Cross multiply
    22,782.88x = 34,175.94 × 6,985.86
  4. Step 4: Simplify right side
    22,782.88x = 238,748,332.21
  5. Step 5: Solve for x
    x = 238,748,332.21/22,782.88
  6. Step 6: Final answer
    x = 10,479.29

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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.