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Finding the Fourth Proportional to 22,385.71, 30,890.07 and 12,823.77

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Solution

The fourth proportional to 22,385.71, 30,890.07 and 12,823.77 is: 17,695.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.71 : 30,890.07 = 12,823.77 : x
  2. Step 2: Convert to fraction form
    22,385.71/30,890.07 = 12,823.77/x
  3. Step 3: Cross multiply
    22,385.71x = 30,890.07 × 12,823.77
  4. Step 4: Simplify right side
    22,385.71x = 396,127,152.96
  5. Step 5: Solve for x
    x = 396,127,152.96/22,385.71
  6. Step 6: Final answer
    x = 17,695.54

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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.