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Finding the Fourth Proportional to 13,937.80, 19,234.22 and 7,564.39

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Solution

The fourth proportional to 13,937.80, 19,234.22 and 7,564.39 is: 10,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.80 : 19,234.22 = 7,564.39 : x
  2. Step 2: Convert to fraction form
    13,937.80/19,234.22 = 7,564.39/x
  3. Step 3: Cross multiply
    13,937.80x = 19,234.22 × 7,564.39
  4. Step 4: Simplify right side
    13,937.80x = 145,495,141.43
  5. Step 5: Solve for x
    x = 145,495,141.43/13,937.80
  6. Step 6: Final answer
    x = 10,438.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.