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Finding the Fourth Proportional to 15,714.80, 21,676.94 and 9,666.08

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Solution

The fourth proportional to 15,714.80, 21,676.94 and 9,666.08 is: 13,333.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.80 : 21,676.94 = 9,666.08 : x
  2. Step 2: Convert to fraction form
    15,714.80/21,676.94 = 9,666.08/x
  3. Step 3: Cross multiply
    15,714.80x = 21,676.94 × 9,666.08
  4. Step 4: Simplify right side
    15,714.80x = 209,530,915.73
  5. Step 5: Solve for x
    x = 209,530,915.73/15,714.80
  6. Step 6: Final answer
    x = 13,333.35

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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.