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Finding the Fourth Proportional to 27,697.75, 38,219.04 and 15,759.77

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Solution

The fourth proportional to 27,697.75, 38,219.04 and 15,759.77 is: 21,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.75 : 38,219.04 = 15,759.77 : x
  2. Step 2: Convert to fraction form
    27,697.75/38,219.04 = 15,759.77/x
  3. Step 3: Cross multiply
    27,697.75x = 38,219.04 × 15,759.77
  4. Step 4: Simplify right side
    27,697.75x = 602,323,088.93
  5. Step 5: Solve for x
    x = 602,323,088.93/27,697.75
  6. Step 6: Final answer
    x = 21,746.28

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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.