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Finding the Fourth Proportional to 12,478.78, 18,712.70 and 4,682.13

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Solution

The fourth proportional to 12,478.78, 18,712.70 and 4,682.13 is: 7,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.78 : 18,712.70 = 4,682.13 : x
  2. Step 2: Convert to fraction form
    12,478.78/18,712.70 = 4,682.13/x
  3. Step 3: Cross multiply
    12,478.78x = 18,712.70 × 4,682.13
  4. Step 4: Simplify right side
    12,478.78x = 87,615,294.05
  5. Step 5: Solve for x
    x = 87,615,294.05/12,478.78
  6. Step 6: Final answer
    x = 7,021.14

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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.