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Finding the Fourth Proportional to 14,024.92, 19,354.14 and 7,976.26

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Solution

The fourth proportional to 14,024.92, 19,354.14 and 7,976.26 is: 11,007.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.92 : 19,354.14 = 7,976.26 : x
  2. Step 2: Convert to fraction form
    14,024.92/19,354.14 = 7,976.26/x
  3. Step 3: Cross multiply
    14,024.92x = 19,354.14 × 7,976.26
  4. Step 4: Simplify right side
    14,024.92x = 154,373,652.72
  5. Step 5: Solve for x
    x = 154,373,652.72/14,024.92
  6. Step 6: Final answer
    x = 11,007.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.