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Finding the Fourth Proportional to 21,099.80, 31,673.58 and 13,313

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Solution

The fourth proportional to 21,099.80, 31,673.58 and 13,313 is: 19,984.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099.80 : 31,673.58 = 13,313 : x
  2. Step 2: Convert to fraction form
    21,099.80/31,673.58 = 13,313/x
  3. Step 3: Cross multiply
    21,099.80x = 31,673.58 × 13,313
  4. Step 4: Simplify right side
    21,099.80x = 421,670,370.54
  5. Step 5: Solve for x
    x = 421,670,370.54/21,099.80
  6. Step 6: Final answer
    x = 19,984.57

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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.