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Finding the Fourth Proportional to 22,776.24, 34,165.40 and 6,980.13

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Solution

The fourth proportional to 22,776.24, 34,165.40 and 6,980.13 is: 10,470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.24 : 34,165.40 = 6,980.13 : x
  2. Step 2: Convert to fraction form
    22,776.24/34,165.40 = 6,980.13/x
  3. Step 3: Cross multiply
    22,776.24x = 34,165.40 × 6,980.13
  4. Step 4: Simplify right side
    22,776.24x = 238,478,933.50
  5. Step 5: Solve for x
    x = 238,478,933.50/22,776.24
  6. Step 6: Final answer
    x = 10,470.51

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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.