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Finding the Fourth Proportional to 16,037.07, 24,049.38 and 6,417

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Solution

The fourth proportional to 16,037.07, 24,049.38 and 6,417 is: 9,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.07 : 24,049.38 = 6,417 : x
  2. Step 2: Convert to fraction form
    16,037.07/24,049.38 = 6,417/x
  3. Step 3: Cross multiply
    16,037.07x = 24,049.38 × 6,417
  4. Step 4: Simplify right side
    16,037.07x = 154,324,871.46
  5. Step 5: Solve for x
    x = 154,324,871.46/16,037.07
  6. Step 6: Final answer
    x = 9,623.01

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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.