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Finding the Fourth Proportional to 13,809.36, 19,056.96 and 8,220

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Solution

The fourth proportional to 13,809.36, 19,056.96 and 8,220 is: 11,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.36 : 19,056.96 = 8,220 : x
  2. Step 2: Convert to fraction form
    13,809.36/19,056.96 = 8,220/x
  3. Step 3: Cross multiply
    13,809.36x = 19,056.96 × 8,220
  4. Step 4: Simplify right side
    13,809.36x = 156,648,211.20
  5. Step 5: Solve for x
    x = 156,648,211.20/13,809.36
  6. Step 6: Final answer
    x = 11,343.63

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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.