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Finding the Fourth Proportional to 24,000, 35,993.24 and 14,376.48

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Solution

The fourth proportional to 24,000, 35,993.24 and 14,376.48 is: 21,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000 : 35,993.24 = 14,376.48 : x
  2. Step 2: Convert to fraction form
    24,000/35,993.24 = 14,376.48/x
  3. Step 3: Cross multiply
    24,000x = 35,993.24 × 14,376.48
  4. Step 4: Simplify right side
    24,000x = 517,456,095.00
  5. Step 5: Solve for x
    x = 517,456,095.00/24,000
  6. Step 6: Final answer
    x = 21,560.67

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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.