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Finding the Fourth Proportional to 14,034.92, 19,353.12 and 13,828.10

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Solution

The fourth proportional to 14,034.92, 19,353.12 and 13,828.10 is: 19,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034.92 : 19,353.12 = 13,828.10 : x
  2. Step 2: Convert to fraction form
    14,034.92/19,353.12 = 13,828.10/x
  3. Step 3: Cross multiply
    14,034.92x = 19,353.12 × 13,828.10
  4. Step 4: Simplify right side
    14,034.92x = 267,616,878.67
  5. Step 5: Solve for x
    x = 267,616,878.67/14,034.92
  6. Step 6: Final answer
    x = 19,067.93

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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.