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Finding the Fourth Proportional to 18,847.68, 26,010.24 and 10,464

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Solution

The fourth proportional to 18,847.68, 26,010.24 and 10,464 is: 14,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,847.68 : 26,010.24 = 10,464 : x
  2. Step 2: Convert to fraction form
    18,847.68/26,010.24 = 10,464/x
  3. Step 3: Cross multiply
    18,847.68x = 26,010.24 × 10,464
  4. Step 4: Simplify right side
    18,847.68x = 272,171,151.36
  5. Step 5: Solve for x
    x = 272,171,151.36/18,847.68
  6. Step 6: Final answer
    x = 14,440.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.