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Finding the Fourth Proportional to 16,774.56, 23,148.84 and 9,322.56

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Solution

The fourth proportional to 16,774.56, 23,148.84 and 9,322.56 is: 12,865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.56 : 23,148.84 = 9,322.56 : x
  2. Step 2: Convert to fraction form
    16,774.56/23,148.84 = 9,322.56/x
  3. Step 3: Cross multiply
    16,774.56x = 23,148.84 × 9,322.56
  4. Step 4: Simplify right side
    16,774.56x = 215,806,449.83
  5. Step 5: Solve for x
    x = 215,806,449.83/16,774.56
  6. Step 6: Final answer
    x = 12,865.10

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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.