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Finding the Fourth Proportional to 16,858.71, 25,280.76 and 5,763.33

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Solution

The fourth proportional to 16,858.71, 25,280.76 and 5,763.33 is: 8,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,858.71 : 25,280.76 = 5,763.33 : x
  2. Step 2: Convert to fraction form
    16,858.71/25,280.76 = 5,763.33/x
  3. Step 3: Cross multiply
    16,858.71x = 25,280.76 × 5,763.33
  4. Step 4: Simplify right side
    16,858.71x = 145,701,362.53
  5. Step 5: Solve for x
    x = 145,701,362.53/16,858.71
  6. Step 6: Final answer
    x = 8,642.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.