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Finding the Fourth Proportional to 13,697.88, 20,547.84 and 4,338.63

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Solution

The fourth proportional to 13,697.88, 20,547.84 and 4,338.63 is: 6,508.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,697.88 : 20,547.84 = 4,338.63 : x
  2. Step 2: Convert to fraction form
    13,697.88/20,547.84 = 4,338.63/x
  3. Step 3: Cross multiply
    13,697.88x = 20,547.84 × 4,338.63
  4. Step 4: Simplify right side
    13,697.88x = 89,149,491.33
  5. Step 5: Solve for x
    x = 89,149,491.33/13,697.88
  6. Step 6: Final answer
    x = 6,508.27

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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.