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Finding the Fourth Proportional to 18,275.74, 27,410.54 and 6,438.31

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Solution

The fourth proportional to 18,275.74, 27,410.54 and 6,438.31 is: 9,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,275.74 : 27,410.54 = 6,438.31 : x
  2. Step 2: Convert to fraction form
    18,275.74/27,410.54 = 6,438.31/x
  3. Step 3: Cross multiply
    18,275.74x = 27,410.54 × 6,438.31
  4. Step 4: Simplify right side
    18,275.74x = 176,477,453.07
  5. Step 5: Solve for x
    x = 176,477,453.07/18,275.74
  6. Step 6: Final answer
    x = 9,656.38

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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.