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Finding the Fourth Proportional to 14,422.98, 19,896.12 and 9,115.86

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Solution

The fourth proportional to 14,422.98, 19,896.12 and 9,115.86 is: 12,575.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.98 : 19,896.12 = 9,115.86 : x
  2. Step 2: Convert to fraction form
    14,422.98/19,896.12 = 9,115.86/x
  3. Step 3: Cross multiply
    14,422.98x = 19,896.12 × 9,115.86
  4. Step 4: Simplify right side
    14,422.98x = 181,370,244.46
  5. Step 5: Solve for x
    x = 181,370,244.46/14,422.98
  6. Step 6: Final answer
    x = 12,575.09

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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.