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Finding the Fourth Proportional to 26,402.40, 39,608.10 and 9,762.51

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Solution

The fourth proportional to 26,402.40, 39,608.10 and 9,762.51 is: 14,645.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,402.40 : 39,608.10 = 9,762.51 : x
  2. Step 2: Convert to fraction form
    26,402.40/39,608.10 = 9,762.51/x
  3. Step 3: Cross multiply
    26,402.40x = 39,608.10 × 9,762.51
  4. Step 4: Simplify right side
    26,402.40x = 386,674,472.33
  5. Step 5: Solve for x
    x = 386,674,472.33/26,402.40
  6. Step 6: Final answer
    x = 14,645.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.