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Finding the Fourth Proportional to 13,836.88, 19,095.11 and 7,549.26

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Solution

The fourth proportional to 13,836.88, 19,095.11 and 7,549.26 is: 10,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,836.88 : 19,095.11 = 7,549.26 : x
  2. Step 2: Convert to fraction form
    13,836.88/19,095.11 = 7,549.26/x
  3. Step 3: Cross multiply
    13,836.88x = 19,095.11 × 7,549.26
  4. Step 4: Simplify right side
    13,836.88x = 144,153,869.08
  5. Step 5: Solve for x
    x = 144,153,869.08/13,836.88
  6. Step 6: Final answer
    x = 10,418.09

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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.