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Finding the Fourth Proportional to 12,913.68, 19,371.60 and 4,148.76

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Solution

The fourth proportional to 12,913.68, 19,371.60 and 4,148.76 is: 6,223.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.68 : 19,371.60 = 4,148.76 : x
  2. Step 2: Convert to fraction form
    12,913.68/19,371.60 = 4,148.76/x
  3. Step 3: Cross multiply
    12,913.68x = 19,371.60 × 4,148.76
  4. Step 4: Simplify right side
    12,913.68x = 80,368,119.22
  5. Step 5: Solve for x
    x = 80,368,119.22/12,913.68
  6. Step 6: Final answer
    x = 6,223.49

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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.