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Finding the Fourth Proportional to 13,221.63, 19,851.89 and 5,445.63

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Solution

The fourth proportional to 13,221.63, 19,851.89 and 5,445.63 is: 8,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,221.63 : 19,851.89 = 5,445.63 : x
  2. Step 2: Convert to fraction form
    13,221.63/19,851.89 = 5,445.63/x
  3. Step 3: Cross multiply
    13,221.63x = 19,851.89 × 5,445.63
  4. Step 4: Simplify right side
    13,221.63x = 108,106,020.51
  5. Step 5: Solve for x
    x = 108,106,020.51/13,221.63
  6. Step 6: Final answer
    x = 8,176.45

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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.