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Finding the Fourth Proportional to 15,713.43, 23,577.81 and 7,394.27

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Solution

The fourth proportional to 15,713.43, 23,577.81 and 7,394.27 is: 11,095.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.43 : 23,577.81 = 7,394.27 : x
  2. Step 2: Convert to fraction form
    15,713.43/23,577.81 = 7,394.27/x
  3. Step 3: Cross multiply
    15,713.43x = 23,577.81 × 7,394.27
  4. Step 4: Simplify right side
    15,713.43x = 174,340,575.26
  5. Step 5: Solve for x
    x = 174,340,575.26/15,713.43
  6. Step 6: Final answer
    x = 11,095.00

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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.