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Finding the Fourth Proportional to 13,886.32, 20,831.64 and 4,524.16

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Solution

The fourth proportional to 13,886.32, 20,831.64 and 4,524.16 is: 6,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.32 : 20,831.64 = 4,524.16 : x
  2. Step 2: Convert to fraction form
    13,886.32/20,831.64 = 4,524.16/x
  3. Step 3: Cross multiply
    13,886.32x = 20,831.64 × 4,524.16
  4. Step 4: Simplify right side
    13,886.32x = 94,245,678.08
  5. Step 5: Solve for x
    x = 94,245,678.08/13,886.32
  6. Step 6: Final answer
    x = 6,786.94

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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.