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Finding the Fourth Proportional to 24,495.06, 36,741.78 and 10,644.06

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Solution

The fourth proportional to 24,495.06, 36,741.78 and 10,644.06 is: 15,965.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,495.06 : 36,741.78 = 10,644.06 : x
  2. Step 2: Convert to fraction form
    24,495.06/36,741.78 = 10,644.06/x
  3. Step 3: Cross multiply
    24,495.06x = 36,741.78 × 10,644.06
  4. Step 4: Simplify right side
    24,495.06x = 391,081,710.83
  5. Step 5: Solve for x
    x = 391,081,710.83/24,495.06
  6. Step 6: Final answer
    x = 15,965.74

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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.