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Finding the Fourth Proportional to 14,908.86, 22,362.80 and 6,137.16

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Solution

The fourth proportional to 14,908.86, 22,362.80 and 6,137.16 is: 9,205.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,908.86 : 22,362.80 = 6,137.16 : x
  2. Step 2: Convert to fraction form
    14,908.86/22,362.80 = 6,137.16/x
  3. Step 3: Cross multiply
    14,908.86x = 22,362.80 × 6,137.16
  4. Step 4: Simplify right side
    14,908.86x = 137,244,081.65
  5. Step 5: Solve for x
    x = 137,244,081.65/14,908.86
  6. Step 6: Final answer
    x = 9,205.54

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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.