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Finding the Fourth Proportional to 13,823.46, 20,733.15 and 6,801.59

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Solution

The fourth proportional to 13,823.46, 20,733.15 and 6,801.59 is: 10,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.46 : 20,733.15 = 6,801.59 : x
  2. Step 2: Convert to fraction form
    13,823.46/20,733.15 = 6,801.59/x
  3. Step 3: Cross multiply
    13,823.46x = 20,733.15 × 6,801.59
  4. Step 4: Simplify right side
    13,823.46x = 141,018,385.71
  5. Step 5: Solve for x
    x = 141,018,385.71/13,823.46
  6. Step 6: Final answer
    x = 10,201.38

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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.