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Finding the Fourth Proportional to 13,952.16, 20,923.92 and 4,716

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Solution

The fourth proportional to 13,952.16, 20,923.92 and 4,716 is: 7,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.16 : 20,923.92 = 4,716 : x
  2. Step 2: Convert to fraction form
    13,952.16/20,923.92 = 4,716/x
  3. Step 3: Cross multiply
    13,952.16x = 20,923.92 × 4,716
  4. Step 4: Simplify right side
    13,952.16x = 98,677,206.72
  5. Step 5: Solve for x
    x = 98,677,206.72/13,952.16
  6. Step 6: Final answer
    x = 7,072.54

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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.