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Finding the Fourth Proportional to 12,877.50, 19,291.73 and 7,334.67

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Solution

The fourth proportional to 12,877.50, 19,291.73 and 7,334.67 is: 10,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.50 : 19,291.73 = 7,334.67 : x
  2. Step 2: Convert to fraction form
    12,877.50/19,291.73 = 7,334.67/x
  3. Step 3: Cross multiply
    12,877.50x = 19,291.73 × 7,334.67
  4. Step 4: Simplify right side
    12,877.50x = 141,498,473.28
  5. Step 5: Solve for x
    x = 141,498,473.28/12,877.50
  6. Step 6: Final answer
    x = 10,988.04

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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.