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Finding the Fourth Proportional to 12,023.42, 16,594.46 and 7,178.46

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Solution

The fourth proportional to 12,023.42, 16,594.46 and 7,178.46 is: 9,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.42 : 16,594.46 = 7,178.46 : x
  2. Step 2: Convert to fraction form
    12,023.42/16,594.46 = 7,178.46/x
  3. Step 3: Cross multiply
    12,023.42x = 16,594.46 × 7,178.46
  4. Step 4: Simplify right side
    12,023.42x = 119,122,631.44
  5. Step 5: Solve for x
    x = 119,122,631.44/12,023.42
  6. Step 6: Final answer
    x = 9,907.55

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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.