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Finding the Fourth Proportional to 14,461.02, 21,691.44 and 7,443

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Solution

The fourth proportional to 14,461.02, 21,691.44 and 7,443 is: 11,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.02 : 21,691.44 = 7,443 : x
  2. Step 2: Convert to fraction form
    14,461.02/21,691.44 = 7,443/x
  3. Step 3: Cross multiply
    14,461.02x = 21,691.44 × 7,443
  4. Step 4: Simplify right side
    14,461.02x = 161,449,387.92
  5. Step 5: Solve for x
    x = 161,449,387.92/14,461.02
  6. Step 6: Final answer
    x = 11,164.45

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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.