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Finding the Fourth Proportional to 15,491.42, 21,377.36 and 8,417.84

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Solution

The fourth proportional to 15,491.42, 21,377.36 and 8,417.84 is: 11,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,491.42 : 21,377.36 = 8,417.84 : x
  2. Step 2: Convert to fraction form
    15,491.42/21,377.36 = 8,417.84/x
  3. Step 3: Cross multiply
    15,491.42x = 21,377.36 × 8,417.84
  4. Step 4: Simplify right side
    15,491.42x = 179,951,196.10
  5. Step 5: Solve for x
    x = 179,951,196.10/15,491.42
  6. Step 6: Final answer
    x = 11,616.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.