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Finding the Fourth Proportional to 20,894.49, 31,341.33 and 5,099.63

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Solution

The fourth proportional to 20,894.49, 31,341.33 and 5,099.63 is: 7,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.49 : 31,341.33 = 5,099.63 : x
  2. Step 2: Convert to fraction form
    20,894.49/31,341.33 = 5,099.63/x
  3. Step 3: Cross multiply
    20,894.49x = 31,341.33 × 5,099.63
  4. Step 4: Simplify right side
    20,894.49x = 159,829,030.00
  5. Step 5: Solve for x
    x = 159,829,030.00/20,894.49
  6. Step 6: Final answer
    x = 7,649.34

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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.