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Finding the Fourth Proportional to 16,807.10, 23,193.14 and 9,733.52

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Solution

The fourth proportional to 16,807.10, 23,193.14 and 9,733.52 is: 13,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.10 : 23,193.14 = 9,733.52 : x
  2. Step 2: Convert to fraction form
    16,807.10/23,193.14 = 9,733.52/x
  3. Step 3: Cross multiply
    16,807.10x = 23,193.14 × 9,733.52
  4. Step 4: Simplify right side
    16,807.10x = 225,750,770.91
  5. Step 5: Solve for x
    x = 225,750,770.91/16,807.10
  6. Step 6: Final answer
    x = 13,431.87

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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.