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Finding the Fourth Proportional to 14,406, 21,612.65 and 4,017.75

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Solution

The fourth proportional to 14,406, 21,612.65 and 4,017.75 is: 6,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406 : 21,612.65 = 4,017.75 : x
  2. Step 2: Convert to fraction form
    14,406/21,612.65 = 4,017.75/x
  3. Step 3: Cross multiply
    14,406x = 21,612.65 × 4,017.75
  4. Step 4: Simplify right side
    14,406x = 86,834,224.54
  5. Step 5: Solve for x
    x = 86,834,224.54/14,406
  6. Step 6: Final answer
    x = 6,027.64

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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.