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Finding the Fourth Proportional to 13,925.94, 20,882.76 and 6,524.43

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Solution

The fourth proportional to 13,925.94, 20,882.76 and 6,524.43 is: 9,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.94 : 20,882.76 = 6,524.43 : x
  2. Step 2: Convert to fraction form
    13,925.94/20,882.76 = 6,524.43/x
  3. Step 3: Cross multiply
    13,925.94x = 20,882.76 × 6,524.43
  4. Step 4: Simplify right side
    13,925.94x = 136,248,105.83
  5. Step 5: Solve for x
    x = 136,248,105.83/13,925.94
  6. Step 6: Final answer
    x = 9,783.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.