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Finding the Fourth Proportional to 21,714.57, 29,967.54 and 12,155.34

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Solution

The fourth proportional to 21,714.57, 29,967.54 and 12,155.34 is: 16,775.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.57 : 29,967.54 = 12,155.34 : x
  2. Step 2: Convert to fraction form
    21,714.57/29,967.54 = 12,155.34/x
  3. Step 3: Cross multiply
    21,714.57x = 29,967.54 × 12,155.34
  4. Step 4: Simplify right side
    21,714.57x = 364,265,637.66
  5. Step 5: Solve for x
    x = 364,265,637.66/21,714.57
  6. Step 6: Final answer
    x = 16,775.17

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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.