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Finding the Fourth Proportional to 16,102.84, 22,217.36 and 10,437.82

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Solution

The fourth proportional to 16,102.84, 22,217.36 and 10,437.82 is: 14,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.84 : 22,217.36 = 10,437.82 : x
  2. Step 2: Convert to fraction form
    16,102.84/22,217.36 = 10,437.82/x
  3. Step 3: Cross multiply
    16,102.84x = 22,217.36 × 10,437.82
  4. Step 4: Simplify right side
    16,102.84x = 231,900,693.47
  5. Step 5: Solve for x
    x = 231,900,693.47/16,102.84
  6. Step 6: Final answer
    x = 14,401.23

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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.