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Finding the Fourth Proportional to 19,830.66, 29,749.63 and 16,165.41

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Solution

The fourth proportional to 19,830.66, 29,749.63 and 16,165.41 is: 24,251.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.66 : 29,749.63 = 16,165.41 : x
  2. Step 2: Convert to fraction form
    19,830.66/29,749.63 = 16,165.41/x
  3. Step 3: Cross multiply
    19,830.66x = 29,749.63 × 16,165.41
  4. Step 4: Simplify right side
    19,830.66x = 480,914,966.30
  5. Step 5: Solve for x
    x = 480,914,966.30/19,830.66
  6. Step 6: Final answer
    x = 24,251.08

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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.