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Finding the Fourth Proportional to 13,837.68, 19,103.67 and 9,130.08

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Solution

The fourth proportional to 13,837.68, 19,103.67 and 9,130.08 is: 12,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,837.68 : 19,103.67 = 9,130.08 : x
  2. Step 2: Convert to fraction form
    13,837.68/19,103.67 = 9,130.08/x
  3. Step 3: Cross multiply
    13,837.68x = 19,103.67 × 9,130.08
  4. Step 4: Simplify right side
    13,837.68x = 174,418,035.39
  5. Step 5: Solve for x
    x = 174,418,035.39/13,837.68
  6. Step 6: Final answer
    x = 12,604.57

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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.