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Finding the Fourth Proportional to 19,874.34, 27,426.06 and 10,922.76

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Solution

The fourth proportional to 19,874.34, 27,426.06 and 10,922.76 is: 15,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.34 : 27,426.06 = 10,922.76 : x
  2. Step 2: Convert to fraction form
    19,874.34/27,426.06 = 10,922.76/x
  3. Step 3: Cross multiply
    19,874.34x = 27,426.06 × 10,922.76
  4. Step 4: Simplify right side
    19,874.34x = 299,568,271.13
  5. Step 5: Solve for x
    x = 299,568,271.13/19,874.34
  6. Step 6: Final answer
    x = 15,073.12

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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.