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Finding the Fourth Proportional to 13,885.19, 19,161.49 and 7,511.76

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Solution

The fourth proportional to 13,885.19, 19,161.49 and 7,511.76 is: 10,366.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.19 : 19,161.49 = 7,511.76 : x
  2. Step 2: Convert to fraction form
    13,885.19/19,161.49 = 7,511.76/x
  3. Step 3: Cross multiply
    13,885.19x = 19,161.49 × 7,511.76
  4. Step 4: Simplify right side
    13,885.19x = 143,936,569.14
  5. Step 5: Solve for x
    x = 143,936,569.14/13,885.19
  6. Step 6: Final answer
    x = 10,366.19

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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.