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Finding the Fourth Proportional to 26,436.63, 39,657.28 and 7,461.43

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Solution

The fourth proportional to 26,436.63, 39,657.28 and 7,461.43 is: 11,192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,436.63 : 39,657.28 = 7,461.43 : x
  2. Step 2: Convert to fraction form
    26,436.63/39,657.28 = 7,461.43/x
  3. Step 3: Cross multiply
    26,436.63x = 39,657.28 × 7,461.43
  4. Step 4: Simplify right side
    26,436.63x = 295,900,005.45
  5. Step 5: Solve for x
    x = 295,900,005.45/26,436.63
  6. Step 6: Final answer
    x = 11,192.81

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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.