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Finding the Fourth Proportional to 16,309.97, 22,512.19 and 9,597.76

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Solution

The fourth proportional to 16,309.97, 22,512.19 and 9,597.76 is: 13,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.97 : 22,512.19 = 9,597.76 : x
  2. Step 2: Convert to fraction form
    16,309.97/22,512.19 = 9,597.76/x
  3. Step 3: Cross multiply
    16,309.97x = 22,512.19 × 9,597.76
  4. Step 4: Simplify right side
    16,309.97x = 216,066,484.13
  5. Step 5: Solve for x
    x = 216,066,484.13/16,309.97
  6. Step 6: Final answer
    x = 13,247.51

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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.