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Finding the Fourth Proportional to 24,945.78, 37,406.17 and 8,300.01

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Solution

The fourth proportional to 24,945.78, 37,406.17 and 8,300.01 is: 12,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,945.78 : 37,406.17 = 8,300.01 : x
  2. Step 2: Convert to fraction form
    24,945.78/37,406.17 = 8,300.01/x
  3. Step 3: Cross multiply
    24,945.78x = 37,406.17 × 8,300.01
  4. Step 4: Simplify right side
    24,945.78x = 310,471,585.06
  5. Step 5: Solve for x
    x = 310,471,585.06/24,945.78
  6. Step 6: Final answer
    x = 12,445.86

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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.