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Finding the Fourth Proportional to 22,077.85, 30,462.10 and 14,008.57

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Solution

The fourth proportional to 22,077.85, 30,462.10 and 14,008.57 is: 19,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,077.85 : 30,462.10 = 14,008.57 : x
  2. Step 2: Convert to fraction form
    22,077.85/30,462.10 = 14,008.57/x
  3. Step 3: Cross multiply
    22,077.85x = 30,462.10 × 14,008.57
  4. Step 4: Simplify right side
    22,077.85x = 426,730,460.20
  5. Step 5: Solve for x
    x = 426,730,460.20/22,077.85
  6. Step 6: Final answer
    x = 19,328.44

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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.