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Finding the Fourth Proportional to 27,513.24, 41,245.08 and 9,970.75

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Solution

The fourth proportional to 27,513.24, 41,245.08 and 9,970.75 is: 14,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.24 : 41,245.08 = 9,970.75 : x
  2. Step 2: Convert to fraction form
    27,513.24/41,245.08 = 9,970.75/x
  3. Step 3: Cross multiply
    27,513.24x = 41,245.08 × 9,970.75
  4. Step 4: Simplify right side
    27,513.24x = 411,244,381.41
  5. Step 5: Solve for x
    x = 411,244,381.41/27,513.24
  6. Step 6: Final answer
    x = 14,947.14

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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.