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Finding the Fourth Proportional to 22,953.17, 34,430.20 and 6,313.14

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Solution

The fourth proportional to 22,953.17, 34,430.20 and 6,313.14 is: 9,469.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.17 : 34,430.20 = 6,313.14 : x
  2. Step 2: Convert to fraction form
    22,953.17/34,430.20 = 6,313.14/x
  3. Step 3: Cross multiply
    22,953.17x = 34,430.20 × 6,313.14
  4. Step 4: Simplify right side
    22,953.17x = 217,362,657.05
  5. Step 5: Solve for x
    x = 217,362,657.05/22,953.17
  6. Step 6: Final answer
    x = 9,469.83

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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.