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Finding the Fourth Proportional to 12,478.93, 18,709.16 and 5,897.43

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Solution

The fourth proportional to 12,478.93, 18,709.16 and 5,897.43 is: 8,841.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.93 : 18,709.16 = 5,897.43 : x
  2. Step 2: Convert to fraction form
    12,478.93/18,709.16 = 5,897.43/x
  3. Step 3: Cross multiply
    12,478.93x = 18,709.16 × 5,897.43
  4. Step 4: Simplify right side
    12,478.93x = 110,335,931.97
  5. Step 5: Solve for x
    x = 110,335,931.97/12,478.93
  6. Step 6: Final answer
    x = 8,841.78

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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.