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Finding the Fourth Proportional to 13,937.85, 19,234.17 and 7,564.47

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Solution

The fourth proportional to 13,937.85, 19,234.17 and 7,564.47 is: 10,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.85 : 19,234.17 = 7,564.47 : x
  2. Step 2: Convert to fraction form
    13,937.85/19,234.17 = 7,564.47/x
  3. Step 3: Cross multiply
    13,937.85x = 19,234.17 × 7,564.47
  4. Step 4: Simplify right side
    13,937.85x = 145,496,301.94
  5. Step 5: Solve for x
    x = 145,496,301.94/13,937.85
  6. Step 6: Final answer
    x = 10,438.93

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