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Finding the Fourth Proportional to 21,856.50, 30,120.02 and 15,129.66

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Solution

The fourth proportional to 21,856.50, 30,120.02 and 15,129.66 is: 20,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,856.50 : 30,120.02 = 15,129.66 : x
  2. Step 2: Convert to fraction form
    21,856.50/30,120.02 = 15,129.66/x
  3. Step 3: Cross multiply
    21,856.50x = 30,120.02 × 15,129.66
  4. Step 4: Simplify right side
    21,856.50x = 455,705,661.79
  5. Step 5: Solve for x
    x = 455,705,661.79/21,856.50
  6. Step 6: Final answer
    x = 20,849.89

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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.