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Finding the Fourth Proportional to 19,305.84, 28,953 and 6,823.56

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Solution

The fourth proportional to 19,305.84, 28,953 and 6,823.56 is: 10,233.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305.84 : 28,953 = 6,823.56 : x
  2. Step 2: Convert to fraction form
    19,305.84/28,953 = 6,823.56/x
  3. Step 3: Cross multiply
    19,305.84x = 28,953 × 6,823.56
  4. Step 4: Simplify right side
    19,305.84x = 197,562,532.68
  5. Step 5: Solve for x
    x = 197,562,532.68/19,305.84
  6. Step 6: Final answer
    x = 10,233.30

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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.