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Finding the Fourth Proportional to 21,097.75, 29,118.54 and 12,714.25

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Solution

The fourth proportional to 21,097.75, 29,118.54 and 12,714.25 is: 17,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.75 : 29,118.54 = 12,714.25 : x
  2. Step 2: Convert to fraction form
    21,097.75/29,118.54 = 12,714.25/x
  3. Step 3: Cross multiply
    21,097.75x = 29,118.54 × 12,714.25
  4. Step 4: Simplify right side
    21,097.75x = 370,220,397.20
  5. Step 5: Solve for x
    x = 370,220,397.20/21,097.75
  6. Step 6: Final answer
    x = 17,547.86

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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.