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Finding the Fourth Proportional to 13,052.64, 19,574.40 and 6,474.72

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Solution

The fourth proportional to 13,052.64, 19,574.40 and 6,474.72 is: 9,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.64 : 19,574.40 = 6,474.72 : x
  2. Step 2: Convert to fraction form
    13,052.64/19,574.40 = 6,474.72/x
  3. Step 3: Cross multiply
    13,052.64x = 19,574.40 × 6,474.72
  4. Step 4: Simplify right side
    13,052.64x = 126,738,759.17
  5. Step 5: Solve for x
    x = 126,738,759.17/13,052.64
  6. Step 6: Final answer
    x = 9,709.82

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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.