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Finding the Fourth Proportional to 14,950.88, 22,430.42 and 5,084.78

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Solution

The fourth proportional to 14,950.88, 22,430.42 and 5,084.78 is: 7,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.88 : 22,430.42 = 5,084.78 : x
  2. Step 2: Convert to fraction form
    14,950.88/22,430.42 = 5,084.78/x
  3. Step 3: Cross multiply
    14,950.88x = 22,430.42 × 5,084.78
  4. Step 4: Simplify right side
    14,950.88x = 114,053,632.50
  5. Step 5: Solve for x
    x = 114,053,632.50/14,950.88
  6. Step 6: Final answer
    x = 7,628.56

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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.