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Finding the Fourth Proportional to 14,914.16, 22,345.32 and 7,976.24

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Solution

The fourth proportional to 14,914.16, 22,345.32 and 7,976.24 is: 11,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.16 : 22,345.32 = 7,976.24 : x
  2. Step 2: Convert to fraction form
    14,914.16/22,345.32 = 7,976.24/x
  3. Step 3: Cross multiply
    14,914.16x = 22,345.32 × 7,976.24
  4. Step 4: Simplify right side
    14,914.16x = 178,231,635.20
  5. Step 5: Solve for x
    x = 178,231,635.20/14,914.16
  6. Step 6: Final answer
    x = 11,950.50

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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.