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Finding the Fourth Proportional to 21,538.61, 29,714.80 and 15,886.96

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Solution

The fourth proportional to 21,538.61, 29,714.80 and 15,886.96 is: 21,917.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.61 : 29,714.80 = 15,886.96 : x
  2. Step 2: Convert to fraction form
    21,538.61/29,714.80 = 15,886.96/x
  3. Step 3: Cross multiply
    21,538.61x = 29,714.80 × 15,886.96
  4. Step 4: Simplify right side
    21,538.61x = 472,077,838.36
  5. Step 5: Solve for x
    x = 472,077,838.36/21,538.61
  6. Step 6: Final answer
    x = 21,917.75

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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.