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Finding the Fourth Proportional to 27,844.76, 38,433.18 and 17,228.40

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Solution

The fourth proportional to 27,844.76, 38,433.18 and 17,228.40 is: 23,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,844.76 : 38,433.18 = 17,228.40 : x
  2. Step 2: Convert to fraction form
    27,844.76/38,433.18 = 17,228.40/x
  3. Step 3: Cross multiply
    27,844.76x = 38,433.18 × 17,228.40
  4. Step 4: Simplify right side
    27,844.76x = 662,142,118.79
  5. Step 5: Solve for x
    x = 662,142,118.79/27,844.76
  6. Step 6: Final answer
    x = 23,779.77

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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.