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Finding the Fourth Proportional to 16,889.48, 23,307.10 and 9,335.48

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Solution

The fourth proportional to 16,889.48, 23,307.10 and 9,335.48 is: 12,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889.48 : 23,307.10 = 9,335.48 : x
  2. Step 2: Convert to fraction form
    16,889.48/23,307.10 = 9,335.48/x
  3. Step 3: Cross multiply
    16,889.48x = 23,307.10 × 9,335.48
  4. Step 4: Simplify right side
    16,889.48x = 217,582,965.91
  5. Step 5: Solve for x
    x = 217,582,965.91/16,889.48
  6. Step 6: Final answer
    x = 12,882.75

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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.