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Finding the Fourth Proportional to 13,849.17, 19,111.75 and 7,561.54

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Solution

The fourth proportional to 13,849.17, 19,111.75 and 7,561.54 is: 10,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.17 : 19,111.75 = 7,561.54 : x
  2. Step 2: Convert to fraction form
    13,849.17/19,111.75 = 7,561.54/x
  3. Step 3: Cross multiply
    13,849.17x = 19,111.75 × 7,561.54
  4. Step 4: Simplify right side
    13,849.17x = 144,514,262.10
  5. Step 5: Solve for x
    x = 144,514,262.10/13,849.17
  6. Step 6: Final answer
    x = 10,434.87

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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.