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Finding the Fourth Proportional to 27,507.25, 37,960.05 and 14,932

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Solution

The fourth proportional to 27,507.25, 37,960.05 and 14,932 is: 20,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,507.25 : 37,960.05 = 14,932 : x
  2. Step 2: Convert to fraction form
    27,507.25/37,960.05 = 14,932/x
  3. Step 3: Cross multiply
    27,507.25x = 37,960.05 × 14,932
  4. Step 4: Simplify right side
    27,507.25x = 566,819,466.60
  5. Step 5: Solve for x
    x = 566,819,466.60/27,507.25
  6. Step 6: Final answer
    x = 20,606.18

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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.