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Finding the Fourth Proportional to 16,685.84, 23,029.04 and 9,515.76

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Solution

The fourth proportional to 16,685.84, 23,029.04 and 9,515.76 is: 13,133.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,685.84 : 23,029.04 = 9,515.76 : x
  2. Step 2: Convert to fraction form
    16,685.84/23,029.04 = 9,515.76/x
  3. Step 3: Cross multiply
    16,685.84x = 23,029.04 × 9,515.76
  4. Step 4: Simplify right side
    16,685.84x = 219,138,770.09
  5. Step 5: Solve for x
    x = 219,138,770.09/16,685.84
  6. Step 6: Final answer
    x = 13,133.22

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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.