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Finding the Fourth Proportional to 13,638.39, 20,461.14 and 4,278.70

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Solution

The fourth proportional to 13,638.39, 20,461.14 and 4,278.70 is: 6,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,638.39 : 20,461.14 = 4,278.70 : x
  2. Step 2: Convert to fraction form
    13,638.39/20,461.14 = 4,278.70/x
  3. Step 3: Cross multiply
    13,638.39x = 20,461.14 × 4,278.70
  4. Step 4: Simplify right side
    13,638.39x = 87,547,105.29
  5. Step 5: Solve for x
    x = 87,547,105.29/13,638.39
  6. Step 6: Final answer
    x = 6,419.17

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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.