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Finding the Fourth Proportional to 39,846.16, 59,777.88 and 12,146.32

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Solution

The fourth proportional to 39,846.16, 59,777.88 and 12,146.32 is: 18,222.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846.16 : 59,777.88 = 12,146.32 : x
  2. Step 2: Convert to fraction form
    39,846.16/59,777.88 = 12,146.32/x
  3. Step 3: Cross multiply
    39,846.16x = 59,777.88 × 12,146.32
  4. Step 4: Simplify right side
    39,846.16x = 726,081,259.40
  5. Step 5: Solve for x
    x = 726,081,259.40/39,846.16
  6. Step 6: Final answer
    x = 18,222.11

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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.