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Finding the Fourth Proportional to 15,807.40, 23,694.90 and 9,230.20

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Solution

The fourth proportional to 15,807.40, 23,694.90 and 9,230.20 is: 13,835.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807.40 : 23,694.90 = 9,230.20 : x
  2. Step 2: Convert to fraction form
    15,807.40/23,694.90 = 9,230.20/x
  3. Step 3: Cross multiply
    15,807.40x = 23,694.90 × 9,230.20
  4. Step 4: Simplify right side
    15,807.40x = 218,708,665.98
  5. Step 5: Solve for x
    x = 218,708,665.98/15,807.40
  6. Step 6: Final answer
    x = 13,835.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.