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Finding the Fourth Proportional to 16,202, 22,358.76 and 8,750

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Solution

The fourth proportional to 16,202, 22,358.76 and 8,750 is: 12,075

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202 : 22,358.76 = 8,750 : x
  2. Step 2: Convert to fraction form
    16,202/22,358.76 = 8,750/x
  3. Step 3: Cross multiply
    16,202x = 22,358.76 × 8,750
  4. Step 4: Simplify right side
    16,202x = 195,639,150
  5. Step 5: Solve for x
    x = 195,639,150/16,202
  6. Step 6: Final answer
    x = 12,075

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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.