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Finding the Fourth Proportional to 27,705.31, 38,232.80 and 15,130.15

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Solution

The fourth proportional to 27,705.31, 38,232.80 and 15,130.15 is: 20,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.31 : 38,232.80 = 15,130.15 : x
  2. Step 2: Convert to fraction form
    27,705.31/38,232.80 = 15,130.15/x
  3. Step 3: Cross multiply
    27,705.31x = 38,232.80 × 15,130.15
  4. Step 4: Simplify right side
    27,705.31x = 578,467,923.27
  5. Step 5: Solve for x
    x = 578,467,923.27/27,705.31
  6. Step 6: Final answer
    x = 20,879.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.