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Finding the Fourth Proportional to 21,970, 30,320.22 and 13,588.12

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Solution

The fourth proportional to 21,970, 30,320.22 and 13,588.12 is: 18,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970 : 30,320.22 = 13,588.12 : x
  2. Step 2: Convert to fraction form
    21,970/30,320.22 = 13,588.12/x
  3. Step 3: Cross multiply
    21,970x = 30,320.22 × 13,588.12
  4. Step 4: Simplify right side
    21,970x = 411,994,787.79
  5. Step 5: Solve for x
    x = 411,994,787.79/21,970
  6. Step 6: Final answer
    x = 18,752.61

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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.