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Finding the Fourth Proportional to 24,965.09, 37,443.51 and 7,430.81

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Solution

The fourth proportional to 24,965.09, 37,443.51 and 7,430.81 is: 11,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,965.09 : 37,443.51 = 7,430.81 : x
  2. Step 2: Convert to fraction form
    24,965.09/37,443.51 = 7,430.81/x
  3. Step 3: Cross multiply
    24,965.09x = 37,443.51 × 7,430.81
  4. Step 4: Simplify right side
    24,965.09x = 278,235,702.15
  5. Step 5: Solve for x
    x = 278,235,702.15/24,965.09
  6. Step 6: Final answer
    x = 11,144.99

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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.