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Finding the Fourth Proportional to 29,189, 40,280.86 and 16,613.76

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Solution

The fourth proportional to 29,189, 40,280.86 and 16,613.76 is: 22,927.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189 : 40,280.86 = 16,613.76 : x
  2. Step 2: Convert to fraction form
    29,189/40,280.86 = 16,613.76/x
  3. Step 3: Cross multiply
    29,189x = 40,280.86 × 16,613.76
  4. Step 4: Simplify right side
    29,189x = 669,216,540.63
  5. Step 5: Solve for x
    x = 669,216,540.63/29,189
  6. Step 6: Final answer
    x = 22,927.01

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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.