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Finding the Fourth Proportional to 15,493.91, 21,381.66 and 8,420.36

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Solution

The fourth proportional to 15,493.91, 21,381.66 and 8,420.36 is: 11,620.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,493.91 : 21,381.66 = 8,420.36 : x
  2. Step 2: Convert to fraction form
    15,493.91/21,381.66 = 8,420.36/x
  3. Step 3: Cross multiply
    15,493.91x = 21,381.66 × 8,420.36
  4. Step 4: Simplify right side
    15,493.91x = 180,041,167.69
  5. Step 5: Solve for x
    x = 180,041,167.69/15,493.91
  6. Step 6: Final answer
    x = 11,620.13

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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.