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Finding the Fourth Proportional to 16,007.40, 23,978.70 and 9,073.80

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Solution

The fourth proportional to 16,007.40, 23,978.70 and 9,073.80 is: 13,592.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.40 : 23,978.70 = 9,073.80 : x
  2. Step 2: Convert to fraction form
    16,007.40/23,978.70 = 9,073.80/x
  3. Step 3: Cross multiply
    16,007.40x = 23,978.70 × 9,073.80
  4. Step 4: Simplify right side
    16,007.40x = 217,577,928.06
  5. Step 5: Solve for x
    x = 217,577,928.06/16,007.40
  6. Step 6: Final answer
    x = 13,592.33

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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.