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Finding the Fourth Proportional to 14,632.64, 20,188.06 and 8,258.48

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Solution

The fourth proportional to 14,632.64, 20,188.06 and 8,258.48 is: 11,393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.64 : 20,188.06 = 8,258.48 : x
  2. Step 2: Convert to fraction form
    14,632.64/20,188.06 = 8,258.48/x
  3. Step 3: Cross multiply
    14,632.64x = 20,188.06 × 8,258.48
  4. Step 4: Simplify right side
    14,632.64x = 166,722,689.75
  5. Step 5: Solve for x
    x = 166,722,689.75/14,632.64
  6. Step 6: Final answer
    x = 11,393.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.