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Finding the Fourth Proportional to 16,770.74, 23,141.75 and 10,056.65

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Solution

The fourth proportional to 16,770.74, 23,141.75 and 10,056.65 is: 13,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.74 : 23,141.75 = 10,056.65 : x
  2. Step 2: Convert to fraction form
    16,770.74/23,141.75 = 10,056.65/x
  3. Step 3: Cross multiply
    16,770.74x = 23,141.75 × 10,056.65
  4. Step 4: Simplify right side
    16,770.74x = 232,728,314.15
  5. Step 5: Solve for x
    x = 232,728,314.15/16,770.74
  6. Step 6: Final answer
    x = 13,877.05

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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.