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Finding the Fourth Proportional to 19,528.66, 29,282.90 and 9,533.87

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Solution

The fourth proportional to 19,528.66, 29,282.90 and 9,533.87 is: 14,295.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,528.66 : 29,282.90 = 9,533.87 : x
  2. Step 2: Convert to fraction form
    19,528.66/29,282.90 = 9,533.87/x
  3. Step 3: Cross multiply
    19,528.66x = 29,282.90 × 9,533.87
  4. Step 4: Simplify right side
    19,528.66x = 279,179,361.82
  5. Step 5: Solve for x
    x = 279,179,361.82/19,528.66
  6. Step 6: Final answer
    x = 14,295.88

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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.