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Finding the Fourth Proportional to 22,756.25, 34,140.14 and 6,340.25

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Solution

The fourth proportional to 22,756.25, 34,140.14 and 6,340.25 is: 9,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,756.25 : 34,140.14 = 6,340.25 : x
  2. Step 2: Convert to fraction form
    22,756.25/34,140.14 = 6,340.25/x
  3. Step 3: Cross multiply
    22,756.25x = 34,140.14 × 6,340.25
  4. Step 4: Simplify right side
    22,756.25x = 216,457,022.64
  5. Step 5: Solve for x
    x = 216,457,022.64/22,756.25
  6. Step 6: Final answer
    x = 9,511.98

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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.