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Finding the Fourth Proportional to 12,024.42, 16,595.84 and 7,179.46

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Solution

The fourth proportional to 12,024.42, 16,595.84 and 7,179.46 is: 9,908.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.42 : 16,595.84 = 7,179.46 : x
  2. Step 2: Convert to fraction form
    12,024.42/16,595.84 = 7,179.46/x
  3. Step 3: Cross multiply
    12,024.42x = 16,595.84 × 7,179.46
  4. Step 4: Simplify right side
    12,024.42x = 119,149,169.45
  5. Step 5: Solve for x
    x = 119,149,169.45/12,024.42
  6. Step 6: Final answer
    x = 9,908.93

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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.