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Finding the Fourth Proportional to 15,398.57, 23,086.76 and 9,463.19

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Solution

The fourth proportional to 15,398.57, 23,086.76 and 9,463.19 is: 14,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.57 : 23,086.76 = 9,463.19 : x
  2. Step 2: Convert to fraction form
    15,398.57/23,086.76 = 9,463.19/x
  3. Step 3: Cross multiply
    15,398.57x = 23,086.76 × 9,463.19
  4. Step 4: Simplify right side
    15,398.57x = 218,474,509.82
  5. Step 5: Solve for x
    x = 218,474,509.82/15,398.57
  6. Step 6: Final answer
    x = 14,187.98

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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.