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Finding the Fourth Proportional to 16,297.88, 24,463.02 and 7,534.76

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Solution

The fourth proportional to 16,297.88, 24,463.02 and 7,534.76 is: 11,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.88 : 24,463.02 = 7,534.76 : x
  2. Step 2: Convert to fraction form
    16,297.88/24,463.02 = 7,534.76/x
  3. Step 3: Cross multiply
    16,297.88x = 24,463.02 × 7,534.76
  4. Step 4: Simplify right side
    16,297.88x = 184,322,984.58
  5. Step 5: Solve for x
    x = 184,322,984.58/16,297.88
  6. Step 6: Final answer
    x = 11,309.63

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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.