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Finding the Fourth Proportional to 22,196.64, 30,628.80 and 12,768.24

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Solution

The fourth proportional to 22,196.64, 30,628.80 and 12,768.24 is: 17,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.64 : 30,628.80 = 12,768.24 : x
  2. Step 2: Convert to fraction form
    22,196.64/30,628.80 = 12,768.24/x
  3. Step 3: Cross multiply
    22,196.64x = 30,628.80 × 12,768.24
  4. Step 4: Simplify right side
    22,196.64x = 391,075,869.31
  5. Step 5: Solve for x
    x = 391,075,869.31/22,196.64
  6. Step 6: Final answer
    x = 17,618.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.