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Finding the Fourth Proportional to 15,314.96, 22,973.70 and 6,549.96

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Solution

The fourth proportional to 15,314.96, 22,973.70 and 6,549.96 is: 9,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.96 : 22,973.70 = 6,549.96 : x
  2. Step 2: Convert to fraction form
    15,314.96/22,973.70 = 6,549.96/x
  3. Step 3: Cross multiply
    15,314.96x = 22,973.70 × 6,549.96
  4. Step 4: Simplify right side
    15,314.96x = 150,476,816.05
  5. Step 5: Solve for x
    x = 150,476,816.05/15,314.96
  6. Step 6: Final answer
    x = 9,825.48

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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.