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Finding the Fourth Proportional to 13,941.34, 19,239.07 and 7,567.94

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Solution

The fourth proportional to 13,941.34, 19,239.07 and 7,567.94 is: 10,443.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.34 : 19,239.07 = 7,567.94 : x
  2. Step 2: Convert to fraction form
    13,941.34/19,239.07 = 7,567.94/x
  3. Step 3: Cross multiply
    13,941.34x = 19,239.07 × 7,567.94
  4. Step 4: Simplify right side
    13,941.34x = 145,600,012.30
  5. Step 5: Solve for x
    x = 145,600,012.30/13,941.34
  6. Step 6: Final answer
    x = 10,443.76

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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.