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Finding the Fourth Proportional to 14,191.56, 21,294.54 and 6,398.64

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Solution

The fourth proportional to 14,191.56, 21,294.54 and 6,398.64 is: 9,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191.56 : 21,294.54 = 6,398.64 : x
  2. Step 2: Convert to fraction form
    14,191.56/21,294.54 = 6,398.64/x
  3. Step 3: Cross multiply
    14,191.56x = 21,294.54 × 6,398.64
  4. Step 4: Simplify right side
    14,191.56x = 136,256,095.43
  5. Step 5: Solve for x
    x = 136,256,095.43/14,191.56
  6. Step 6: Final answer
    x = 9,601.21

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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.