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Finding the Fourth Proportional to 21,093.71, 31,645.70 and 6,302.53

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Solution

The fourth proportional to 21,093.71, 31,645.70 and 6,302.53 is: 9,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,093.71 : 31,645.70 = 6,302.53 : x
  2. Step 2: Convert to fraction form
    21,093.71/31,645.70 = 6,302.53/x
  3. Step 3: Cross multiply
    21,093.71x = 31,645.70 × 6,302.53
  4. Step 4: Simplify right side
    21,093.71x = 199,447,862.99
  5. Step 5: Solve for x
    x = 199,447,862.99/21,093.71
  6. Step 6: Final answer
    x = 9,455.32

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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.