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Finding the Fourth Proportional to 21,035.83, 31,532.40 and 13,645

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Solution

The fourth proportional to 21,035.83, 31,532.40 and 13,645 is: 20,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.83 : 31,532.40 = 13,645 : x
  2. Step 2: Convert to fraction form
    21,035.83/31,532.40 = 13,645/x
  3. Step 3: Cross multiply
    21,035.83x = 31,532.40 × 13,645
  4. Step 4: Simplify right side
    21,035.83x = 430,259,598
  5. Step 5: Solve for x
    x = 430,259,598/21,035.83
  6. Step 6: Final answer
    x = 20,453.65

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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.