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Finding the Fourth Proportional to 14,988.50, 22,483.84 and 5,754.50

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Solution

The fourth proportional to 14,988.50, 22,483.84 and 5,754.50 is: 8,632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,988.50 : 22,483.84 = 5,754.50 : x
  2. Step 2: Convert to fraction form
    14,988.50/22,483.84 = 5,754.50/x
  3. Step 3: Cross multiply
    14,988.50x = 22,483.84 × 5,754.50
  4. Step 4: Simplify right side
    14,988.50x = 129,383,257.28
  5. Step 5: Solve for x
    x = 129,383,257.28/14,988.50
  6. Step 6: Final answer
    x = 8,632.17

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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.