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Finding the Fourth Proportional to 23,878.30, 35,807.72 and 10,727.14

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Solution

The fourth proportional to 23,878.30, 35,807.72 and 10,727.14 is: 16,086.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,878.30 : 35,807.72 = 10,727.14 : x
  2. Step 2: Convert to fraction form
    23,878.30/35,807.72 = 10,727.14/x
  3. Step 3: Cross multiply
    23,878.30x = 35,807.72 × 10,727.14
  4. Step 4: Simplify right side
    23,878.30x = 384,114,425.52
  5. Step 5: Solve for x
    x = 384,114,425.52/23,878.30
  6. Step 6: Final answer
    x = 16,086.34

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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.