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Finding the Fourth Proportional to 13,020.58, 17,966.37 and 7,714.54

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Solution

The fourth proportional to 13,020.58, 17,966.37 and 7,714.54 is: 10,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.58 : 17,966.37 = 7,714.54 : x
  2. Step 2: Convert to fraction form
    13,020.58/17,966.37 = 7,714.54/x
  3. Step 3: Cross multiply
    13,020.58x = 17,966.37 × 7,714.54
  4. Step 4: Simplify right side
    13,020.58x = 138,602,280.02
  5. Step 5: Solve for x
    x = 138,602,280.02/13,020.58
  6. Step 6: Final answer
    x = 10,644.86

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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.