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Finding the Fourth Proportional to 15,244.62, 22,803.75 and 14,311.50

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Solution

The fourth proportional to 15,244.62, 22,803.75 and 14,311.50 is: 21,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,244.62 : 22,803.75 = 14,311.50 : x
  2. Step 2: Convert to fraction form
    15,244.62/22,803.75 = 14,311.50/x
  3. Step 3: Cross multiply
    15,244.62x = 22,803.75 × 14,311.50
  4. Step 4: Simplify right side
    15,244.62x = 326,355,868.13
  5. Step 5: Solve for x
    x = 326,355,868.13/15,244.62
  6. Step 6: Final answer
    x = 21,407.94

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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.