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Finding the Fourth Proportional to 14,463.68, 21,691.26 and 6,143.63

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Solution

The fourth proportional to 14,463.68, 21,691.26 and 6,143.63 is: 9,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.68 : 21,691.26 = 6,143.63 : x
  2. Step 2: Convert to fraction form
    14,463.68/21,691.26 = 6,143.63/x
  3. Step 3: Cross multiply
    14,463.68x = 21,691.26 × 6,143.63
  4. Step 4: Simplify right side
    14,463.68x = 133,262,967.22
  5. Step 5: Solve for x
    x = 133,262,967.22/14,463.68
  6. Step 6: Final answer
    x = 9,213.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.