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Finding the Fourth Proportional to 23,830.74, 32,886 and 13,220.15

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Solution

The fourth proportional to 23,830.74, 32,886 and 13,220.15 is: 18,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.74 : 32,886 = 13,220.15 : x
  2. Step 2: Convert to fraction form
    23,830.74/32,886 = 13,220.15/x
  3. Step 3: Cross multiply
    23,830.74x = 32,886 × 13,220.15
  4. Step 4: Simplify right side
    23,830.74x = 434,757,688.47
  5. Step 5: Solve for x
    x = 434,757,688.47/23,830.74
  6. Step 6: Final answer
    x = 18,243.57

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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.