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Finding the Fourth Proportional to 19,002, 26,222.76 and 10,618.50

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Solution

The fourth proportional to 19,002, 26,222.76 and 10,618.50 is: 14,653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,002 : 26,222.76 = 10,618.50 : x
  2. Step 2: Convert to fraction form
    19,002/26,222.76 = 10,618.50/x
  3. Step 3: Cross multiply
    19,002x = 26,222.76 × 10,618.50
  4. Step 4: Simplify right side
    19,002x = 278,446,377.06
  5. Step 5: Solve for x
    x = 278,446,377.06/19,002
  6. Step 6: Final answer
    x = 14,653.53

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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.