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Finding the Fourth Proportional to 21,109.86, 29,133.60 and 12,612

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Solution

The fourth proportional to 21,109.86, 29,133.60 and 12,612 is: 17,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109.86 : 29,133.60 = 12,612 : x
  2. Step 2: Convert to fraction form
    21,109.86/29,133.60 = 12,612/x
  3. Step 3: Cross multiply
    21,109.86x = 29,133.60 × 12,612
  4. Step 4: Simplify right side
    21,109.86x = 367,432,963.20
  5. Step 5: Solve for x
    x = 367,432,963.20/21,109.86
  6. Step 6: Final answer
    x = 17,405.75

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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.