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Finding the Fourth Proportional to 13,850.38, 19,113.50 and 7,562.76

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Solution

The fourth proportional to 13,850.38, 19,113.50 and 7,562.76 is: 10,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.38 : 19,113.50 = 7,562.76 : x
  2. Step 2: Convert to fraction form
    13,850.38/19,113.50 = 7,562.76/x
  3. Step 3: Cross multiply
    13,850.38x = 19,113.50 × 7,562.76
  4. Step 4: Simplify right side
    13,850.38x = 144,550,813.26
  5. Step 5: Solve for x
    x = 144,550,813.26/13,850.38
  6. Step 6: Final answer
    x = 10,436.60

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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.