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Finding the Fourth Proportional to 14,264.96, 21,400.12 and 6,474.32

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Solution

The fourth proportional to 14,264.96, 21,400.12 and 6,474.32 is: 9,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.96 : 21,400.12 = 6,474.32 : x
  2. Step 2: Convert to fraction form
    14,264.96/21,400.12 = 6,474.32/x
  3. Step 3: Cross multiply
    14,264.96x = 21,400.12 × 6,474.32
  4. Step 4: Simplify right side
    14,264.96x = 138,551,224.92
  5. Step 5: Solve for x
    x = 138,551,224.92/14,264.96
  6. Step 6: Final answer
    x = 9,712.70

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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.