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Finding the Fourth Proportional to 21,355.34, 31,953.69 and 13,420.71

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Solution

The fourth proportional to 21,355.34, 31,953.69 and 13,420.71 is: 20,081.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,355.34 : 31,953.69 = 13,420.71 : x
  2. Step 2: Convert to fraction form
    21,355.34/31,953.69 = 13,420.71/x
  3. Step 3: Cross multiply
    21,355.34x = 31,953.69 × 13,420.71
  4. Step 4: Simplify right side
    21,355.34x = 428,841,206.92
  5. Step 5: Solve for x
    x = 428,841,206.92/21,355.34
  6. Step 6: Final answer
    x = 20,081.22

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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.