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Finding the Fourth Proportional to 14,241.32, 19,652.32 and 8,272.02

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Solution

The fourth proportional to 14,241.32, 19,652.32 and 8,272.02 is: 11,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,241.32 : 19,652.32 = 8,272.02 : x
  2. Step 2: Convert to fraction form
    14,241.32/19,652.32 = 8,272.02/x
  3. Step 3: Cross multiply
    14,241.32x = 19,652.32 × 8,272.02
  4. Step 4: Simplify right side
    14,241.32x = 162,564,468.12
  5. Step 5: Solve for x
    x = 162,564,468.12/14,241.32
  6. Step 6: Final answer
    x = 11,414.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.