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Finding the Fourth Proportional to 22,515.84, 33,770.88 and 9,365.76

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Solution

The fourth proportional to 22,515.84, 33,770.88 and 9,365.76 is: 14,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.84 : 33,770.88 = 9,365.76 : x
  2. Step 2: Convert to fraction form
    22,515.84/33,770.88 = 9,365.76/x
  3. Step 3: Cross multiply
    22,515.84x = 33,770.88 × 9,365.76
  4. Step 4: Simplify right side
    22,515.84x = 316,289,957.07
  5. Step 5: Solve for x
    x = 316,289,957.07/22,515.84
  6. Step 6: Final answer
    x = 14,047.44

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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.