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Finding the Fourth Proportional to 19,738.60, 29,609.88 and 5,698.98

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Solution

The fourth proportional to 19,738.60, 29,609.88 and 5,698.98 is: 8,549.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,738.60 : 29,609.88 = 5,698.98 : x
  2. Step 2: Convert to fraction form
    19,738.60/29,609.88 = 5,698.98/x
  3. Step 3: Cross multiply
    19,738.60x = 29,609.88 × 5,698.98
  4. Step 4: Simplify right side
    19,738.60x = 168,746,113.92
  5. Step 5: Solve for x
    x = 168,746,113.92/19,738.60
  6. Step 6: Final answer
    x = 8,549.04

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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.