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Finding the Fourth Proportional to 19,311.53, 26,650.56 and 10,814

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Solution

The fourth proportional to 19,311.53, 26,650.56 and 10,814 is: 14,923.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311.53 : 26,650.56 = 10,814 : x
  2. Step 2: Convert to fraction form
    19,311.53/26,650.56 = 10,814/x
  3. Step 3: Cross multiply
    19,311.53x = 26,650.56 × 10,814
  4. Step 4: Simplify right side
    19,311.53x = 288,199,155.84
  5. Step 5: Solve for x
    x = 288,199,155.84/19,311.53
  6. Step 6: Final answer
    x = 14,923.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.