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Finding the Fourth Proportional to 19,776.94, 29,626.18 and 10,402.80

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Solution

The fourth proportional to 19,776.94, 29,626.18 and 10,402.80 is: 15,583.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.94 : 29,626.18 = 10,402.80 : x
  2. Step 2: Convert to fraction form
    19,776.94/29,626.18 = 10,402.80/x
  3. Step 3: Cross multiply
    19,776.94x = 29,626.18 × 10,402.80
  4. Step 4: Simplify right side
    19,776.94x = 308,195,225.30
  5. Step 5: Solve for x
    x = 308,195,225.30/19,776.94
  6. Step 6: Final answer
    x = 15,583.56

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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.