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Finding the Fourth Proportional to 24,964.70, 37,457.94 and 13,264.22

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Solution

The fourth proportional to 24,964.70, 37,457.94 and 13,264.22 is: 19,902.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,964.70 : 37,457.94 = 13,264.22 : x
  2. Step 2: Convert to fraction form
    24,964.70/37,457.94 = 13,264.22/x
  3. Step 3: Cross multiply
    24,964.70x = 37,457.94 × 13,264.22
  4. Step 4: Simplify right side
    24,964.70x = 496,850,356.91
  5. Step 5: Solve for x
    x = 496,850,356.91/24,964.70
  6. Step 6: Final answer
    x = 19,902.12

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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.