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Finding the Fourth Proportional to 13,951.50, 19,253.10 and 7,578.12

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Solution

The fourth proportional to 13,951.50, 19,253.10 and 7,578.12 is: 10,457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,951.50 : 19,253.10 = 7,578.12 : x
  2. Step 2: Convert to fraction form
    13,951.50/19,253.10 = 7,578.12/x
  3. Step 3: Cross multiply
    13,951.50x = 19,253.10 × 7,578.12
  4. Step 4: Simplify right side
    13,951.50x = 145,902,302.17
  5. Step 5: Solve for x
    x = 145,902,302.17/13,951.50
  6. Step 6: Final answer
    x = 10,457.82

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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.