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Finding the Fourth Proportional to 19,798.13, 29,701.44 and 5,758.40

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Solution

The fourth proportional to 19,798.13, 29,701.44 and 5,758.40 is: 8,638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.13 : 29,701.44 = 5,758.40 : x
  2. Step 2: Convert to fraction form
    19,798.13/29,701.44 = 5,758.40/x
  3. Step 3: Cross multiply
    19,798.13x = 29,701.44 × 5,758.40
  4. Step 4: Simplify right side
    19,798.13x = 171,032,772.10
  5. Step 5: Solve for x
    x = 171,032,772.10/19,798.13
  6. Step 6: Final answer
    x = 8,638.83

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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.