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Finding the Fourth Proportional to 27,931.34, 41,899.74 and 9,203.72

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Solution

The fourth proportional to 27,931.34, 41,899.74 and 9,203.72 is: 13,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.34 : 41,899.74 = 9,203.72 : x
  2. Step 2: Convert to fraction form
    27,931.34/41,899.74 = 9,203.72/x
  3. Step 3: Cross multiply
    27,931.34x = 41,899.74 × 9,203.72
  4. Step 4: Simplify right side
    27,931.34x = 385,633,475.03
  5. Step 5: Solve for x
    x = 385,633,475.03/27,931.34
  6. Step 6: Final answer
    x = 13,806.48

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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.