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Finding the Fourth Proportional to 19,870.30, 29,798.07 and 5,826.70

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Solution

The fourth proportional to 19,870.30, 29,798.07 and 5,826.70 is: 8,737.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.30 : 29,798.07 = 5,826.70 : x
  2. Step 2: Convert to fraction form
    19,870.30/29,798.07 = 5,826.70/x
  3. Step 3: Cross multiply
    19,870.30x = 29,798.07 × 5,826.70
  4. Step 4: Simplify right side
    19,870.30x = 173,624,414.47
  5. Step 5: Solve for x
    x = 173,624,414.47/19,870.30
  6. Step 6: Final answer
    x = 8,737.89

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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.