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Finding the Fourth Proportional to 16,424.18, 22,652.87 and 14,159.42

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Solution

The fourth proportional to 16,424.18, 22,652.87 and 14,159.42 is: 19,529.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,424.18 : 22,652.87 = 14,159.42 : x
  2. Step 2: Convert to fraction form
    16,424.18/22,652.87 = 14,159.42/x
  3. Step 3: Cross multiply
    16,424.18x = 22,652.87 × 14,159.42
  4. Step 4: Simplify right side
    16,424.18x = 320,751,316.47
  5. Step 5: Solve for x
    x = 320,751,316.47/16,424.18
  6. Step 6: Final answer
    x = 19,529.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.