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Finding the Fourth Proportional to 19,798.68, 29,702.34 and 5,758.86

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Solution

The fourth proportional to 19,798.68, 29,702.34 and 5,758.86 is: 8,639.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,798.68 : 29,702.34 = 5,758.86 : x
  2. Step 2: Convert to fraction form
    19,798.68/29,702.34 = 5,758.86/x
  3. Step 3: Cross multiply
    19,798.68x = 29,702.34 × 5,758.86
  4. Step 4: Simplify right side
    19,798.68x = 171,051,617.73
  5. Step 5: Solve for x
    x = 171,051,617.73/19,798.68
  6. Step 6: Final answer
    x = 8,639.55

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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.