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Finding the Fourth Proportional to 16,380.26, 24,549.86 and 7,009.28

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Solution

The fourth proportional to 16,380.26, 24,549.86 and 7,009.28 is: 10,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.26 : 24,549.86 = 7,009.28 : x
  2. Step 2: Convert to fraction form
    16,380.26/24,549.86 = 7,009.28/x
  3. Step 3: Cross multiply
    16,380.26x = 24,549.86 × 7,009.28
  4. Step 4: Simplify right side
    16,380.26x = 172,076,842.70
  5. Step 5: Solve for x
    x = 172,076,842.70/16,380.26
  6. Step 6: Final answer
    x = 10,505.14

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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.