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Finding the Fourth Proportional to 14,191.19, 21,289.52 and 6,400

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Solution

The fourth proportional to 14,191.19, 21,289.52 and 6,400 is: 9,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.19 : 21,289.52 = 6,400 : x
  2. Step 2: Convert to fraction form
    14,191.19/21,289.52 = 6,400/x
  3. Step 3: Cross multiply
    14,191.19x = 21,289.52 × 6,400
  4. Step 4: Simplify right side
    14,191.19x = 136,252,928
  5. Step 5: Solve for x
    x = 136,252,928/14,191.19
  6. Step 6: Final answer
    x = 9,601.23

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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.