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Finding the Fourth Proportional to 14,906.16, 22,369.50 and 6,141.08

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Solution

The fourth proportional to 14,906.16, 22,369.50 and 6,141.08 is: 9,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.16 : 22,369.50 = 6,141.08 : x
  2. Step 2: Convert to fraction form
    14,906.16/22,369.50 = 6,141.08/x
  3. Step 3: Cross multiply
    14,906.16x = 22,369.50 × 6,141.08
  4. Step 4: Simplify right side
    14,906.16x = 137,372,803.12
  5. Step 5: Solve for x
    x = 137,372,803.12/14,906.16
  6. Step 6: Final answer
    x = 9,215.84

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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.