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Finding the Fourth Proportional to 26,957.50, 40,434.86 and 10,316.25

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Solution

The fourth proportional to 26,957.50, 40,434.86 and 10,316.25 is: 15,473.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,957.50 : 40,434.86 = 10,316.25 : x
  2. Step 2: Convert to fraction form
    26,957.50/40,434.86 = 10,316.25/x
  3. Step 3: Cross multiply
    26,957.50x = 40,434.86 × 10,316.25
  4. Step 4: Simplify right side
    26,957.50x = 417,136,150.27
  5. Step 5: Solve for x
    x = 417,136,150.27/26,957.50
  6. Step 6: Final answer
    x = 15,473.85

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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.