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Finding the Fourth Proportional to 23,816.75, 35,724.02 and 9,773.30

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Solution

The fourth proportional to 23,816.75, 35,724.02 and 9,773.30 is: 14,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.75 : 35,724.02 = 9,773.30 : x
  2. Step 2: Convert to fraction form
    23,816.75/35,724.02 = 9,773.30/x
  3. Step 3: Cross multiply
    23,816.75x = 35,724.02 × 9,773.30
  4. Step 4: Simplify right side
    23,816.75x = 349,141,605.11
  5. Step 5: Solve for x
    x = 349,141,605.11/23,816.75
  6. Step 6: Final answer
    x = 14,659.50

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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.