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Finding the Fourth Proportional to 21,107.16, 31,648.75 and 8,612.55

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Solution

The fourth proportional to 21,107.16, 31,648.75 and 8,612.55 is: 12,913.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.16 : 31,648.75 = 8,612.55 : x
  2. Step 2: Convert to fraction form
    21,107.16/31,648.75 = 8,612.55/x
  3. Step 3: Cross multiply
    21,107.16x = 31,648.75 × 8,612.55
  4. Step 4: Simplify right side
    21,107.16x = 272,576,420.28
  5. Step 5: Solve for x
    x = 272,576,420.28/21,107.16
  6. Step 6: Final answer
    x = 12,913.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.