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Finding the Fourth Proportional to 26,564.76, 36,674.10 and 15,957

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Solution

The fourth proportional to 26,564.76, 36,674.10 and 15,957 is: 22,029.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,564.76 : 36,674.10 = 15,957 : x
  2. Step 2: Convert to fraction form
    26,564.76/36,674.10 = 15,957/x
  3. Step 3: Cross multiply
    26,564.76x = 36,674.10 × 15,957
  4. Step 4: Simplify right side
    26,564.76x = 585,208,613.70
  5. Step 5: Solve for x
    x = 585,208,613.70/26,564.76
  6. Step 6: Final answer
    x = 22,029.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.