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Finding the Fourth Proportional to 39,884.16, 59,824.08 and 12,180

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Solution

The fourth proportional to 39,884.16, 59,824.08 and 12,180 is: 18,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,884.16 : 59,824.08 = 12,180 : x
  2. Step 2: Convert to fraction form
    39,884.16/59,824.08 = 12,180/x
  3. Step 3: Cross multiply
    39,884.16x = 59,824.08 × 12,180
  4. Step 4: Simplify right side
    39,884.16x = 728,657,294.40
  5. Step 5: Solve for x
    x = 728,657,294.40/39,884.16
  6. Step 6: Final answer
    x = 18,269.34

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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.