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Finding the Fourth Proportional to 22,515.84, 33,780.28 and 6,935.76

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Solution

The fourth proportional to 22,515.84, 33,780.28 and 6,935.76 is: 10,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,515.84 : 33,780.28 = 6,935.76 : x
  2. Step 2: Convert to fraction form
    22,515.84/33,780.28 = 6,935.76/x
  3. Step 3: Cross multiply
    22,515.84x = 33,780.28 × 6,935.76
  4. Step 4: Simplify right side
    22,515.84x = 234,291,914.81
  5. Step 5: Solve for x
    x = 234,291,914.81/22,515.84
  6. Step 6: Final answer
    x = 10,405.65

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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.