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Finding the Fourth Proportional to 19,461.59, 29,188.85 and 6,813.20

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Solution

The fourth proportional to 19,461.59, 29,188.85 and 6,813.20 is: 10,218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461.59 : 29,188.85 = 6,813.20 : x
  2. Step 2: Convert to fraction form
    19,461.59/29,188.85 = 6,813.20/x
  3. Step 3: Cross multiply
    19,461.59x = 29,188.85 × 6,813.20
  4. Step 4: Simplify right side
    19,461.59x = 198,869,292.81
  5. Step 5: Solve for x
    x = 198,869,292.81/19,461.59
  6. Step 6: Final answer
    x = 10,218.56

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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.