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Finding the Fourth Proportional to 12,476.96, 18,715.56 and 5,884.40

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Solution

The fourth proportional to 12,476.96, 18,715.56 and 5,884.40 is: 8,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.96 : 18,715.56 = 5,884.40 : x
  2. Step 2: Convert to fraction form
    12,476.96/18,715.56 = 5,884.40/x
  3. Step 3: Cross multiply
    12,476.96x = 18,715.56 × 5,884.40
  4. Step 4: Simplify right side
    12,476.96x = 110,129,841.26
  5. Step 5: Solve for x
    x = 110,129,841.26/12,476.96
  6. Step 6: Final answer
    x = 8,826.66

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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.