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Finding the Fourth Proportional to 18,719.57, 25,833.06 and 10,221.77

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Solution

The fourth proportional to 18,719.57, 25,833.06 and 10,221.77 is: 14,106.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,719.57 : 25,833.06 = 10,221.77 : x
  2. Step 2: Convert to fraction form
    18,719.57/25,833.06 = 10,221.77/x
  3. Step 3: Cross multiply
    18,719.57x = 25,833.06 × 10,221.77
  4. Step 4: Simplify right side
    18,719.57x = 264,059,468.55
  5. Step 5: Solve for x
    x = 264,059,468.55/18,719.57
  6. Step 6: Final answer
    x = 14,106.07

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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.