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Finding the Fourth Proportional to 11,050.74, 16,505.80 and 9,495.26

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Solution

The fourth proportional to 11,050.74, 16,505.80 and 9,495.26 is: 14,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,050.74 : 16,505.80 = 9,495.26 : x
  2. Step 2: Convert to fraction form
    11,050.74/16,505.80 = 9,495.26/x
  3. Step 3: Cross multiply
    11,050.74x = 16,505.80 × 9,495.26
  4. Step 4: Simplify right side
    11,050.74x = 156,726,862.51
  5. Step 5: Solve for x
    x = 156,726,862.51/11,050.74
  6. Step 6: Final answer
    x = 14,182.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.