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Finding the Fourth Proportional to 21,093.17, 31,624.10 and 12,771.20

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Solution

The fourth proportional to 21,093.17, 31,624.10 and 12,771.20 is: 19,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.17 : 31,624.10 = 12,771.20 : x
  2. Step 2: Convert to fraction form
    21,093.17/31,624.10 = 12,771.20/x
  3. Step 3: Cross multiply
    21,093.17x = 31,624.10 × 12,771.20
  4. Step 4: Simplify right side
    21,093.17x = 403,877,483.94
  5. Step 5: Solve for x
    x = 403,877,483.94/21,093.17
  6. Step 6: Final answer
    x = 19,147.32

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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.