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Finding the Fourth Proportional to 12,527.87, 18,792.30 and 7,016.32

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Solution

The fourth proportional to 12,527.87, 18,792.30 and 7,016.32 is: 10,524.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.87 : 18,792.30 = 7,016.32 : x
  2. Step 2: Convert to fraction form
    12,527.87/18,792.30 = 7,016.32/x
  3. Step 3: Cross multiply
    12,527.87x = 18,792.30 × 7,016.32
  4. Step 4: Simplify right side
    12,527.87x = 131,852,840.14
  5. Step 5: Solve for x
    x = 131,852,840.14/12,527.87
  6. Step 6: Final answer
    x = 10,524.77

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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.