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Finding the Fourth Proportional to 13,574.82, 18,732.31 and 7,525.02

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Solution

The fourth proportional to 13,574.82, 18,732.31 and 7,525.02 is: 10,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,574.82 : 18,732.31 = 7,525.02 : x
  2. Step 2: Convert to fraction form
    13,574.82/18,732.31 = 7,525.02/x
  3. Step 3: Cross multiply
    13,574.82x = 18,732.31 × 7,525.02
  4. Step 4: Simplify right side
    13,574.82x = 140,960,995.79
  5. Step 5: Solve for x
    x = 140,960,995.79/13,574.82
  6. Step 6: Final answer
    x = 10,384.00

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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.