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Finding the Fourth Proportional to 19,682.60, 29,508.30 and 9,816.80

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Solution

The fourth proportional to 19,682.60, 29,508.30 and 9,816.80 is: 14,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.60 : 29,508.30 = 9,816.80 : x
  2. Step 2: Convert to fraction form
    19,682.60/29,508.30 = 9,816.80/x
  3. Step 3: Cross multiply
    19,682.60x = 29,508.30 × 9,816.80
  4. Step 4: Simplify right side
    19,682.60x = 289,676,931.90
  5. Step 5: Solve for x
    x = 289,676,931.90/19,682.60
  6. Step 6: Final answer
    x = 14,717.42

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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.