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Finding the Fourth Proportional to 12,836.34, 17,714.16 and 7,531.20

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Solution

The fourth proportional to 12,836.34, 17,714.16 and 7,531.20 is: 10,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.34 : 17,714.16 = 7,531.20 : x
  2. Step 2: Convert to fraction form
    12,836.34/17,714.16 = 7,531.20/x
  3. Step 3: Cross multiply
    12,836.34x = 17,714.16 × 7,531.20
  4. Step 4: Simplify right side
    12,836.34x = 133,408,881.79
  5. Step 5: Solve for x
    x = 133,408,881.79/12,836.34
  6. Step 6: Final answer
    x = 10,393.06

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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.