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Finding the Fourth Proportional to 13,802.72, 20,713.80 and 8,884.40

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Solution

The fourth proportional to 13,802.72, 20,713.80 and 8,884.40 is: 13,332.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.72 : 20,713.80 = 8,884.40 : x
  2. Step 2: Convert to fraction form
    13,802.72/20,713.80 = 8,884.40/x
  3. Step 3: Cross multiply
    13,802.72x = 20,713.80 × 8,884.40
  4. Step 4: Simplify right side
    13,802.72x = 184,029,684.72
  5. Step 5: Solve for x
    x = 184,029,684.72/13,802.72
  6. Step 6: Final answer
    x = 13,332.86

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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.