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Finding the Fourth Proportional to 15,859.32, 21,885 and 8,785.32

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Solution

The fourth proportional to 15,859.32, 21,885 and 8,785.32 is: 12,123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,859.32 : 21,885 = 8,785.32 : x
  2. Step 2: Convert to fraction form
    15,859.32/21,885 = 8,785.32/x
  3. Step 3: Cross multiply
    15,859.32x = 21,885 × 8,785.32
  4. Step 4: Simplify right side
    15,859.32x = 192,266,728.20
  5. Step 5: Solve for x
    x = 192,266,728.20/15,859.32
  6. Step 6: Final answer
    x = 12,123.26

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1.5x scale

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.