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Finding the Fourth Proportional to 16,102.95, 24,146.46 and 6,740.16

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Solution

The fourth proportional to 16,102.95, 24,146.46 and 6,740.16 is: 10,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.95 : 24,146.46 = 6,740.16 : x
  2. Step 2: Convert to fraction form
    16,102.95/24,146.46 = 6,740.16/x
  3. Step 3: Cross multiply
    16,102.95x = 24,146.46 × 6,740.16
  4. Step 4: Simplify right side
    16,102.95x = 162,751,003.83
  5. Step 5: Solve for x
    x = 162,751,003.83/16,102.95
  6. Step 6: Final answer
    x = 10,106.91

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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.