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Finding the Fourth Proportional to 26,495.36, 39,743.05 and 9,853.22

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Solution

The fourth proportional to 26,495.36, 39,743.05 and 9,853.22 is: 14,779.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,495.36 : 39,743.05 = 9,853.22 : x
  2. Step 2: Convert to fraction form
    26,495.36/39,743.05 = 9,853.22/x
  3. Step 3: Cross multiply
    26,495.36x = 39,743.05 × 9,853.22
  4. Step 4: Simplify right side
    26,495.36x = 391,596,866.50
  5. Step 5: Solve for x
    x = 391,596,866.50/26,495.36
  6. Step 6: Final answer
    x = 14,779.83

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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.