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Finding the Fourth Proportional to 22,657.87, 33,973.44 and 6,858.10

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Solution

The fourth proportional to 22,657.87, 33,973.44 and 6,858.10 is: 10,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.87 : 33,973.44 = 6,858.10 : x
  2. Step 2: Convert to fraction form
    22,657.87/33,973.44 = 6,858.10/x
  3. Step 3: Cross multiply
    22,657.87x = 33,973.44 × 6,858.10
  4. Step 4: Simplify right side
    22,657.87x = 232,993,248.86
  5. Step 5: Solve for x
    x = 232,993,248.86/22,657.87
  6. Step 6: Final answer
    x = 10,283.10

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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.