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Finding the Fourth Proportional to 13,952.68, 20,931.74 and 4,947.64

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Solution

The fourth proportional to 13,952.68, 20,931.74 and 4,947.64 is: 7,422.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.68 : 20,931.74 = 4,947.64 : x
  2. Step 2: Convert to fraction form
    13,952.68/20,931.74 = 4,947.64/x
  3. Step 3: Cross multiply
    13,952.68x = 20,931.74 × 4,947.64
  4. Step 4: Simplify right side
    13,952.68x = 103,562,714.09
  5. Step 5: Solve for x
    x = 103,562,714.09/13,952.68
  6. Step 6: Final answer
    x = 7,422.42

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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.