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Finding the Fourth Proportional to 27,509.40, 41,271.08 and 12,728.92

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Solution

The fourth proportional to 27,509.40, 41,271.08 and 12,728.92 is: 19,096.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.40 : 41,271.08 = 12,728.92 : x
  2. Step 2: Convert to fraction form
    27,509.40/41,271.08 = 12,728.92/x
  3. Step 3: Cross multiply
    27,509.40x = 41,271.08 × 12,728.92
  4. Step 4: Simplify right side
    27,509.40x = 525,336,275.63
  5. Step 5: Solve for x
    x = 525,336,275.63/27,509.40
  6. Step 6: Final answer
    x = 19,096.61

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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.