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Finding the Fourth Proportional to 14,106.29, 19,472.88 and 9,873.97

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Solution

The fourth proportional to 14,106.29, 19,472.88 and 9,873.97 is: 13,630.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.29 : 19,472.88 = 9,873.97 : x
  2. Step 2: Convert to fraction form
    14,106.29/19,472.88 = 9,873.97/x
  3. Step 3: Cross multiply
    14,106.29x = 19,472.88 × 9,873.97
  4. Step 4: Simplify right side
    14,106.29x = 192,274,632.93
  5. Step 5: Solve for x
    x = 192,274,632.93/14,106.29
  6. Step 6: Final answer
    x = 13,630.42

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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.