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Finding the Fourth Proportional to 26,405.20, 39,605.91 and 9,762.13

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Solution

The fourth proportional to 26,405.20, 39,605.91 and 9,762.13 is: 14,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,405.20 : 39,605.91 = 9,762.13 : x
  2. Step 2: Convert to fraction form
    26,405.20/39,605.91 = 9,762.13/x
  3. Step 3: Cross multiply
    26,405.20x = 39,605.91 × 9,762.13
  4. Step 4: Simplify right side
    26,405.20x = 386,638,042.19
  5. Step 5: Solve for x
    x = 386,638,042.19/26,405.20
  6. Step 6: Final answer
    x = 14,642.50

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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.