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Finding the Fourth Proportional to 20,894.36, 31,329.02 and 9,803.48

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Solution

The fourth proportional to 20,894.36, 31,329.02 and 9,803.48 is: 14,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.36 : 31,329.02 = 9,803.48 : x
  2. Step 2: Convert to fraction form
    20,894.36/31,329.02 = 9,803.48/x
  3. Step 3: Cross multiply
    20,894.36x = 31,329.02 × 9,803.48
  4. Step 4: Simplify right side
    20,894.36x = 307,133,420.99
  5. Step 5: Solve for x
    x = 307,133,420.99/20,894.36
  6. Step 6: Final answer
    x = 14,699.35

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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.