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Finding the Fourth Proportional to 24,997.57, 37,495.58 and 10,206.63

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Solution

The fourth proportional to 24,997.57, 37,495.58 and 10,206.63 is: 15,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,997.57 : 37,495.58 = 10,206.63 : x
  2. Step 2: Convert to fraction form
    24,997.57/37,495.58 = 10,206.63/x
  3. Step 3: Cross multiply
    24,997.57x = 37,495.58 × 10,206.63
  4. Step 4: Simplify right side
    24,997.57x = 382,703,460.66
  5. Step 5: Solve for x
    x = 382,703,460.66/24,997.57
  6. Step 6: Final answer
    x = 15,309.63

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