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Finding the Fourth Proportional to 39,868.40, 59,802.60 and 12,166.40

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Solution

The fourth proportional to 39,868.40, 59,802.60 and 12,166.40 is: 18,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,868.40 : 59,802.60 = 12,166.40 : x
  2. Step 2: Convert to fraction form
    39,868.40/59,802.60 = 12,166.40/x
  3. Step 3: Cross multiply
    39,868.40x = 59,802.60 × 12,166.40
  4. Step 4: Simplify right side
    39,868.40x = 727,582,352.64
  5. Step 5: Solve for x
    x = 727,582,352.64/39,868.40
  6. Step 6: Final answer
    x = 18,249.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.