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Finding the Fourth Proportional to 14,643.23, 20,207.67 and 7,928.87

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Solution

The fourth proportional to 14,643.23, 20,207.67 and 7,928.87 is: 10,941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.23 : 20,207.67 = 7,928.87 : x
  2. Step 2: Convert to fraction form
    14,643.23/20,207.67 = 7,928.87/x
  3. Step 3: Cross multiply
    14,643.23x = 20,207.67 × 7,928.87
  4. Step 4: Simplify right side
    14,643.23x = 160,223,887.39
  5. Step 5: Solve for x
    x = 160,223,887.39/14,643.23
  6. Step 6: Final answer
    x = 10,941.84

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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.