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Finding the Fourth Proportional to 22,358.63, 30,861.78 and 14,400.83

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Solution

The fourth proportional to 22,358.63, 30,861.78 and 14,400.83 is: 19,877.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.63 : 30,861.78 = 14,400.83 : x
  2. Step 2: Convert to fraction form
    22,358.63/30,861.78 = 14,400.83/x
  3. Step 3: Cross multiply
    22,358.63x = 30,861.78 × 14,400.83
  4. Step 4: Simplify right side
    22,358.63x = 444,435,247.28
  5. Step 5: Solve for x
    x = 444,435,247.28/22,358.63
  6. Step 6: Final answer
    x = 19,877.57

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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.