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Finding the Fourth Proportional to 27,509.60, 41,257.76 and 12,704.28

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Solution

The fourth proportional to 27,509.60, 41,257.76 and 12,704.28 is: 19,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.60 : 41,257.76 = 12,704.28 : x
  2. Step 2: Convert to fraction form
    27,509.60/41,257.76 = 12,704.28/x
  3. Step 3: Cross multiply
    27,509.60x = 41,257.76 × 12,704.28
  4. Step 4: Simplify right side
    27,509.60x = 524,150,071.69
  5. Step 5: Solve for x
    x = 524,150,071.69/27,509.60
  6. Step 6: Final answer
    x = 19,053.35

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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.