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Finding the Fourth Proportional to 13,718.88, 18,932.40 and 8,416.62

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Solution

The fourth proportional to 13,718.88, 18,932.40 and 8,416.62 is: 11,615.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.88 : 18,932.40 = 8,416.62 : x
  2. Step 2: Convert to fraction form
    13,718.88/18,932.40 = 8,416.62/x
  3. Step 3: Cross multiply
    13,718.88x = 18,932.40 × 8,416.62
  4. Step 4: Simplify right side
    13,718.88x = 159,346,816.49
  5. Step 5: Solve for x
    x = 159,346,816.49/13,718.88
  6. Step 6: Final answer
    x = 11,615.15

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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.