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Finding the Fourth Proportional to 27,504.64, 41,246.40 and 9,970.24

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Solution

The fourth proportional to 27,504.64, 41,246.40 and 9,970.24 is: 14,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,504.64 : 41,246.40 = 9,970.24 : x
  2. Step 2: Convert to fraction form
    27,504.64/41,246.40 = 9,970.24/x
  3. Step 3: Cross multiply
    27,504.64x = 41,246.40 × 9,970.24
  4. Step 4: Simplify right side
    27,504.64x = 411,236,507.14
  5. Step 5: Solve for x
    x = 411,236,507.14/27,504.64
  6. Step 6: Final answer
    x = 14,951.53

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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.