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Finding the Fourth Proportional to 27,830.72, 38,406.10 and 15,255.40

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Solution

The fourth proportional to 27,830.72, 38,406.10 and 15,255.40 is: 21,052.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.72 : 38,406.10 = 15,255.40 : x
  2. Step 2: Convert to fraction form
    27,830.72/38,406.10 = 15,255.40/x
  3. Step 3: Cross multiply
    27,830.72x = 38,406.10 × 15,255.40
  4. Step 4: Simplify right side
    27,830.72x = 585,900,417.94
  5. Step 5: Solve for x
    x = 585,900,417.94/27,830.72
  6. Step 6: Final answer
    x = 21,052.29

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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.