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Finding the Fourth Proportional to 23,277.50, 34,888.89 and 10,771.10

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Solution

The fourth proportional to 23,277.50, 34,888.89 and 10,771.10 is: 16,143.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,277.50 : 34,888.89 = 10,771.10 : x
  2. Step 2: Convert to fraction form
    23,277.50/34,888.89 = 10,771.10/x
  3. Step 3: Cross multiply
    23,277.50x = 34,888.89 × 10,771.10
  4. Step 4: Simplify right side
    23,277.50x = 375,791,548.63
  5. Step 5: Solve for x
    x = 375,791,548.63/23,277.50
  6. Step 6: Final answer
    x = 16,143.99

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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.