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Finding the Fourth Proportional to 22,340.94, 33,503.49 and 6,541.50

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Solution

The fourth proportional to 22,340.94, 33,503.49 and 6,541.50 is: 9,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,340.94 : 33,503.49 = 6,541.50 : x
  2. Step 2: Convert to fraction form
    22,340.94/33,503.49 = 6,541.50/x
  3. Step 3: Cross multiply
    22,340.94x = 33,503.49 × 6,541.50
  4. Step 4: Simplify right side
    22,340.94x = 219,163,079.84
  5. Step 5: Solve for x
    x = 219,163,079.84/22,340.94
  6. Step 6: Final answer
    x = 9,809.93

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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.