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Finding the Fourth Proportional to 15,524.64, 21,424.50 and 9,151.92

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Solution

The fourth proportional to 15,524.64, 21,424.50 and 9,151.92 is: 12,629.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,524.64 : 21,424.50 = 9,151.92 : x
  2. Step 2: Convert to fraction form
    15,524.64/21,424.50 = 9,151.92/x
  3. Step 3: Cross multiply
    15,524.64x = 21,424.50 × 9,151.92
  4. Step 4: Simplify right side
    15,524.64x = 196,075,310.04
  5. Step 5: Solve for x
    x = 196,075,310.04/15,524.64
  6. Step 6: Final answer
    x = 12,629.94

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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.