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Finding the Fourth Proportional to 17,774.71, 26,663.22 and 5,124.80

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Solution

The fourth proportional to 17,774.71, 26,663.22 and 5,124.80 is: 7,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.71 : 26,663.22 = 5,124.80 : x
  2. Step 2: Convert to fraction form
    17,774.71/26,663.22 = 5,124.80/x
  3. Step 3: Cross multiply
    17,774.71x = 26,663.22 × 5,124.80
  4. Step 4: Simplify right side
    17,774.71x = 136,643,736.51
  5. Step 5: Solve for x
    x = 136,643,736.51/17,774.71
  6. Step 6: Final answer
    x = 7,687.54

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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.