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Finding the Fourth Proportional to 16,807.87, 23,193.84 and 9,732.93

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Solution

The fourth proportional to 16,807.87, 23,193.84 and 9,732.93 is: 13,430.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.87 : 23,193.84 = 9,732.93 : x
  2. Step 2: Convert to fraction form
    16,807.87/23,193.84 = 9,732.93/x
  3. Step 3: Cross multiply
    16,807.87x = 23,193.84 × 9,732.93
  4. Step 4: Simplify right side
    16,807.87x = 225,744,021.15
  5. Step 5: Solve for x
    x = 225,744,021.15/16,807.87
  6. Step 6: Final answer
    x = 13,430.85

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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.