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Finding the Fourth Proportional to 16,215.84, 22,350.96 and 12,852.48

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Solution

The fourth proportional to 16,215.84, 22,350.96 and 12,852.48 is: 17,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.84 : 22,350.96 = 12,852.48 : x
  2. Step 2: Convert to fraction form
    16,215.84/22,350.96 = 12,852.48/x
  3. Step 3: Cross multiply
    16,215.84x = 22,350.96 × 12,852.48
  4. Step 4: Simplify right side
    16,215.84x = 287,265,266.38
  5. Step 5: Solve for x
    x = 287,265,266.38/16,215.84
  6. Step 6: Final answer
    x = 17,715.10

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Why These Related Problems?

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