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Finding the Fourth Proportional to 26,652.32, 39,971.50 and 7,927.32

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Solution

The fourth proportional to 26,652.32, 39,971.50 and 7,927.32 is: 11,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,652.32 : 39,971.50 = 7,927.32 : x
  2. Step 2: Convert to fraction form
    26,652.32/39,971.50 = 7,927.32/x
  3. Step 3: Cross multiply
    26,652.32x = 39,971.50 × 7,927.32
  4. Step 4: Simplify right side
    26,652.32x = 316,866,871.38
  5. Step 5: Solve for x
    x = 316,866,871.38/26,652.32
  6. Step 6: Final answer
    x = 11,888.90

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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.