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Finding the Fourth Proportional to 16,923, 25,386.93 and 5,237.13

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Solution

The fourth proportional to 16,923, 25,386.93 and 5,237.13 is: 7,856.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923 : 25,386.93 = 5,237.13 : x
  2. Step 2: Convert to fraction form
    16,923/25,386.93 = 5,237.13/x
  3. Step 3: Cross multiply
    16,923x = 25,386.93 × 5,237.13
  4. Step 4: Simplify right side
    16,923x = 132,954,652.71
  5. Step 5: Solve for x
    x = 132,954,652.71/16,923
  6. Step 6: Final answer
    x = 7,856.45

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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.