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Finding the Fourth Proportional to 22,266, 30,718.56 and 14,715.96

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Solution

The fourth proportional to 22,266, 30,718.56 and 14,715.96 is: 20,302.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,266 : 30,718.56 = 14,715.96 : x
  2. Step 2: Convert to fraction form
    22,266/30,718.56 = 14,715.96/x
  3. Step 3: Cross multiply
    22,266x = 30,718.56 × 14,715.96
  4. Step 4: Simplify right side
    22,266x = 452,053,100.22
  5. Step 5: Solve for x
    x = 452,053,100.22/22,266
  6. Step 6: Final answer
    x = 20,302.39

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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.