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Finding the Fourth Proportional to 14,577.24, 21,864.64 and 4,189

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Solution

The fourth proportional to 14,577.24, 21,864.64 and 4,189 is: 6,283.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.24 : 21,864.64 = 4,189 : x
  2. Step 2: Convert to fraction form
    14,577.24/21,864.64 = 4,189/x
  3. Step 3: Cross multiply
    14,577.24x = 21,864.64 × 4,189
  4. Step 4: Simplify right side
    14,577.24x = 91,590,976.96
  5. Step 5: Solve for x
    x = 91,590,976.96/14,577.24
  6. Step 6: Final answer
    x = 6,283.15

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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.