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Finding the Fourth Proportional to 16,062.50, 24,077.75 and 7,740.16

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Solution

The fourth proportional to 16,062.50, 24,077.75 and 7,740.16 is: 11,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,062.50 : 24,077.75 = 7,740.16 : x
  2. Step 2: Convert to fraction form
    16,062.50/24,077.75 = 7,740.16/x
  3. Step 3: Cross multiply
    16,062.50x = 24,077.75 × 7,740.16
  4. Step 4: Simplify right side
    16,062.50x = 186,365,517.05
  5. Step 5: Solve for x
    x = 186,365,517.05/16,062.50
  6. Step 6: Final answer
    x = 11,602.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.