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Finding the Fourth Proportional to 15,714.64, 21,686 and 8,641

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Solution

The fourth proportional to 15,714.64, 21,686 and 8,641 is: 11,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.64 : 21,686 = 8,641 : x
  2. Step 2: Convert to fraction form
    15,714.64/21,686 = 8,641/x
  3. Step 3: Cross multiply
    15,714.64x = 21,686 × 8,641
  4. Step 4: Simplify right side
    15,714.64x = 187,388,726
  5. Step 5: Solve for x
    x = 187,388,726/15,714.64
  6. Step 6: Final answer
    x = 11,924.47

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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.