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Finding the Fourth Proportional to 27,874.94, 41,812.40 and 12,303.50

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Solution

The fourth proportional to 27,874.94, 41,812.40 and 12,303.50 is: 18,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.94 : 41,812.40 = 12,303.50 : x
  2. Step 2: Convert to fraction form
    27,874.94/41,812.40 = 12,303.50/x
  3. Step 3: Cross multiply
    27,874.94x = 41,812.40 × 12,303.50
  4. Step 4: Simplify right side
    27,874.94x = 514,438,685.10
  5. Step 5: Solve for x
    x = 514,438,685.10/27,874.94
  6. Step 6: Final answer
    x = 18,455.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.