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Finding the Fourth Proportional to 13,561.47, 18,714.82 and 7,594.54

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Solution

The fourth proportional to 13,561.47, 18,714.82 and 7,594.54 is: 10,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561.47 : 18,714.82 = 7,594.54 : x
  2. Step 2: Convert to fraction form
    13,561.47/18,714.82 = 7,594.54/x
  3. Step 3: Cross multiply
    13,561.47x = 18,714.82 × 7,594.54
  4. Step 4: Simplify right side
    13,561.47x = 142,130,383.31
  5. Step 5: Solve for x
    x = 142,130,383.31/13,561.47
  6. Step 6: Final answer
    x = 10,480.46

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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.