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Finding the Fourth Proportional to 19,884.25, 29,761.47 and 14,617.86

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Solution

The fourth proportional to 19,884.25, 29,761.47 and 14,617.86 is: 21,879.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.25 : 29,761.47 = 14,617.86 : x
  2. Step 2: Convert to fraction form
    19,884.25/29,761.47 = 14,617.86/x
  3. Step 3: Cross multiply
    19,884.25x = 29,761.47 × 14,617.86
  4. Step 4: Simplify right side
    19,884.25x = 435,048,928.76
  5. Step 5: Solve for x
    x = 435,048,928.76/19,884.25
  6. Step 6: Final answer
    x = 21,879.08

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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.