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Finding the Fourth Proportional to 12,462.42, 18,697.28 and 4,671.84

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Solution

The fourth proportional to 12,462.42, 18,697.28 and 4,671.84 is: 7,009.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,462.42 : 18,697.28 = 4,671.84 : x
  2. Step 2: Convert to fraction form
    12,462.42/18,697.28 = 4,671.84/x
  3. Step 3: Cross multiply
    12,462.42x = 18,697.28 × 4,671.84
  4. Step 4: Simplify right side
    12,462.42x = 87,350,773.63
  5. Step 5: Solve for x
    x = 87,350,773.63/12,462.42
  6. Step 6: Final answer
    x = 7,009.13

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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.