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Finding the Fourth Proportional to 27,657.50, 38,168.70 and 15,561.77

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Solution

The fourth proportional to 27,657.50, 38,168.70 and 15,561.77 is: 21,476.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,657.50 : 38,168.70 = 15,561.77 : x
  2. Step 2: Convert to fraction form
    27,657.50/38,168.70 = 15,561.77/x
  3. Step 3: Cross multiply
    27,657.50x = 38,168.70 × 15,561.77
  4. Step 4: Simplify right side
    27,657.50x = 593,972,339.76
  5. Step 5: Solve for x
    x = 593,972,339.76/27,657.50
  6. Step 6: Final answer
    x = 21,476.00

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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.