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Finding the Fourth Proportional to 13,020.46, 17,965.12 and 7,714.35

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Solution

The fourth proportional to 13,020.46, 17,965.12 and 7,714.35 is: 10,643.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.46 : 17,965.12 = 7,714.35 : x
  2. Step 2: Convert to fraction form
    13,020.46/17,965.12 = 7,714.35/x
  3. Step 3: Cross multiply
    13,020.46x = 17,965.12 × 7,714.35
  4. Step 4: Simplify right side
    13,020.46x = 138,589,223.47
  5. Step 5: Solve for x
    x = 138,589,223.47/13,020.46
  6. Step 6: Final answer
    x = 10,643.96

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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.