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Finding the Fourth Proportional to 16,853.57, 25,277.16 and 6,323.16

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Solution

The fourth proportional to 16,853.57, 25,277.16 and 6,323.16 is: 9,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.57 : 25,277.16 = 6,323.16 : x
  2. Step 2: Convert to fraction form
    16,853.57/25,277.16 = 6,323.16/x
  3. Step 3: Cross multiply
    16,853.57x = 25,277.16 × 6,323.16
  4. Step 4: Simplify right side
    16,853.57x = 159,831,645.53
  5. Step 5: Solve for x
    x = 159,831,645.53/16,853.57
  6. Step 6: Final answer
    x = 9,483.55

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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.