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Finding the Fourth Proportional to 27,705.50, 38,233.80 and 15,130.25

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Solution

The fourth proportional to 27,705.50, 38,233.80 and 15,130.25 is: 20,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.50 : 38,233.80 = 15,130.25 : x
  2. Step 2: Convert to fraction form
    27,705.50/38,233.80 = 15,130.25/x
  3. Step 3: Cross multiply
    27,705.50x = 38,233.80 × 15,130.25
  4. Step 4: Simplify right side
    27,705.50x = 578,486,952.45
  5. Step 5: Solve for x
    x = 578,486,952.45/27,705.50
  6. Step 6: Final answer
    x = 20,879.86

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