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Finding the Fourth Proportional to 13,925.52, 20,895.84 and 9,234

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Solution

The fourth proportional to 13,925.52, 20,895.84 and 9,234 is: 13,856.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,925.52 : 20,895.84 = 9,234 : x
  2. Step 2: Convert to fraction form
    13,925.52/20,895.84 = 9,234/x
  3. Step 3: Cross multiply
    13,925.52x = 20,895.84 × 9,234
  4. Step 4: Simplify right side
    13,925.52x = 192,952,186.56
  5. Step 5: Solve for x
    x = 192,952,186.56/13,925.52
  6. Step 6: Final answer
    x = 13,856.01

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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.