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Finding the Fourth Proportional to 14,943.74, 20,622.13 and 8,898.20

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Solution

The fourth proportional to 14,943.74, 20,622.13 and 8,898.20 is: 12,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,943.74 : 20,622.13 = 8,898.20 : x
  2. Step 2: Convert to fraction form
    14,943.74/20,622.13 = 8,898.20/x
  3. Step 3: Cross multiply
    14,943.74x = 20,622.13 × 8,898.20
  4. Step 4: Simplify right side
    14,943.74x = 183,499,837.17
  5. Step 5: Solve for x
    x = 183,499,837.17/14,943.74
  6. Step 6: Final answer
    x = 12,279.38

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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.