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Finding the Fourth Proportional to 22,551.41, 33,830.36 and 6,970.25

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Solution

The fourth proportional to 22,551.41, 33,830.36 and 6,970.25 is: 10,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551.41 : 33,830.36 = 6,970.25 : x
  2. Step 2: Convert to fraction form
    22,551.41/33,830.36 = 6,970.25/x
  3. Step 3: Cross multiply
    22,551.41x = 33,830.36 × 6,970.25
  4. Step 4: Simplify right side
    22,551.41x = 235,806,066.79
  5. Step 5: Solve for x
    x = 235,806,066.79/22,551.41
  6. Step 6: Final answer
    x = 10,456.38

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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.