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Finding the Fourth Proportional to 16,237, 22,407.06 and 8,785

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Solution

The fourth proportional to 16,237, 22,407.06 and 8,785 is: 12,123.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237 : 22,407.06 = 8,785 : x
  2. Step 2: Convert to fraction form
    16,237/22,407.06 = 8,785/x
  3. Step 3: Cross multiply
    16,237x = 22,407.06 × 8,785
  4. Step 4: Simplify right side
    16,237x = 196,846,022.10
  5. Step 5: Solve for x
    x = 196,846,022.10/16,237
  6. Step 6: Final answer
    x = 12,123.30

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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.