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Finding the Fourth Proportional to 24,583.16, 36,843.86 and 10,526.63

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Solution

The fourth proportional to 24,583.16, 36,843.86 and 10,526.63 is: 15,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,583.16 : 36,843.86 = 10,526.63 : x
  2. Step 2: Convert to fraction form
    24,583.16/36,843.86 = 10,526.63/x
  3. Step 3: Cross multiply
    24,583.16x = 36,843.86 × 10,526.63
  4. Step 4: Simplify right side
    24,583.16x = 387,841,524.09
  5. Step 5: Solve for x
    x = 387,841,524.09/24,583.16
  6. Step 6: Final answer
    x = 15,776.71

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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.