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Finding the Fourth Proportional to 26,594.50, 39,888.66 and 6,871.50

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Solution

The fourth proportional to 26,594.50, 39,888.66 and 6,871.50 is: 10,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,594.50 : 39,888.66 = 6,871.50 : x
  2. Step 2: Convert to fraction form
    26,594.50/39,888.66 = 6,871.50/x
  3. Step 3: Cross multiply
    26,594.50x = 39,888.66 × 6,871.50
  4. Step 4: Simplify right side
    26,594.50x = 274,094,927.19
  5. Step 5: Solve for x
    x = 274,094,927.19/26,594.50
  6. Step 6: Final answer
    x = 10,306.45

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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.