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Finding the Fourth Proportional to 14,814.14, 22,196.91 and 8,972.42

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Solution

The fourth proportional to 14,814.14, 22,196.91 and 8,972.42 is: 13,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.14 : 22,196.91 = 8,972.42 : x
  2. Step 2: Convert to fraction form
    14,814.14/22,196.91 = 8,972.42/x
  3. Step 3: Cross multiply
    14,814.14x = 22,196.91 × 8,972.42
  4. Step 4: Simplify right side
    14,814.14x = 199,159,999.22
  5. Step 5: Solve for x
    x = 199,159,999.22/14,814.14
  6. Step 6: Final answer
    x = 13,443.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.