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Finding the Fourth Proportional to 14,646.26, 21,972.16 and 5,881.86

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Solution

The fourth proportional to 14,646.26, 21,972.16 and 5,881.86 is: 8,823.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.26 : 21,972.16 = 5,881.86 : x
  2. Step 2: Convert to fraction form
    14,646.26/21,972.16 = 5,881.86/x
  3. Step 3: Cross multiply
    14,646.26x = 21,972.16 × 5,881.86
  4. Step 4: Simplify right side
    14,646.26x = 129,237,169.02
  5. Step 5: Solve for x
    x = 129,237,169.02/14,646.26
  6. Step 6: Final answer
    x = 8,823.90

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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.