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Finding the Fourth Proportional to 16,471.46, 24,686.49 and 7,100.51

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Solution

The fourth proportional to 16,471.46, 24,686.49 and 7,100.51 is: 10,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,471.46 : 24,686.49 = 7,100.51 : x
  2. Step 2: Convert to fraction form
    16,471.46/24,686.49 = 7,100.51/x
  3. Step 3: Cross multiply
    16,471.46x = 24,686.49 × 7,100.51
  4. Step 4: Simplify right side
    16,471.46x = 175,286,669.11
  5. Step 5: Solve for x
    x = 175,286,669.11/16,471.46
  6. Step 6: Final answer
    x = 10,641.84

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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.