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Finding the Fourth Proportional to 19,671.77, 29,489.81 and 9,814.07

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Solution

The fourth proportional to 19,671.77, 29,489.81 and 9,814.07 is: 14,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.77 : 29,489.81 = 9,814.07 : x
  2. Step 2: Convert to fraction form
    19,671.77/29,489.81 = 9,814.07/x
  3. Step 3: Cross multiply
    19,671.77x = 29,489.81 × 9,814.07
  4. Step 4: Simplify right side
    19,671.77x = 289,414,863.11
  5. Step 5: Solve for x
    x = 289,414,863.11/19,671.77
  6. Step 6: Final answer
    x = 14,712.20

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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.