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Finding the Fourth Proportional to 14,454.17, 21,684.54 and 6,134.48

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Solution

The fourth proportional to 14,454.17, 21,684.54 and 6,134.48 is: 9,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.17 : 21,684.54 = 6,134.48 : x
  2. Step 2: Convert to fraction form
    14,454.17/21,684.54 = 6,134.48/x
  3. Step 3: Cross multiply
    14,454.17x = 21,684.54 × 6,134.48
  4. Step 4: Simplify right side
    14,454.17x = 133,023,376.94
  5. Step 5: Solve for x
    x = 133,023,376.94/14,454.17
  6. Step 6: Final answer
    x = 9,203.11

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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.