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Finding the Fourth Proportional to 14,226.88, 19,632.98 and 7,853.47

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Solution

The fourth proportional to 14,226.88, 19,632.98 and 7,853.47 is: 10,837.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.88 : 19,632.98 = 7,853.47 : x
  2. Step 2: Convert to fraction form
    14,226.88/19,632.98 = 7,853.47/x
  3. Step 3: Cross multiply
    14,226.88x = 19,632.98 × 7,853.47
  4. Step 4: Simplify right side
    14,226.88x = 154,187,019.44
  5. Step 5: Solve for x
    x = 154,187,019.44/14,226.88
  6. Step 6: Final answer
    x = 10,837.73

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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.