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Finding the Fourth Proportional to 23,197.73, 32,012.73 and 12,587.14

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Solution

The fourth proportional to 23,197.73, 32,012.73 and 12,587.14 is: 17,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.73 : 32,012.73 = 12,587.14 : x
  2. Step 2: Convert to fraction form
    23,197.73/32,012.73 = 12,587.14/x
  3. Step 3: Cross multiply
    23,197.73x = 32,012.73 × 12,587.14
  4. Step 4: Simplify right side
    23,197.73x = 402,948,714.29
  5. Step 5: Solve for x
    x = 402,948,714.29/23,197.73
  6. Step 6: Final answer
    x = 17,370.18

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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.