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Finding the Fourth Proportional to 25,912.64, 38,886.12 and 14,234

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Solution

The fourth proportional to 25,912.64, 38,886.12 and 14,234 is: 21,360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,912.64 : 38,886.12 = 14,234 : x
  2. Step 2: Convert to fraction form
    25,912.64/38,886.12 = 14,234/x
  3. Step 3: Cross multiply
    25,912.64x = 38,886.12 × 14,234
  4. Step 4: Simplify right side
    25,912.64x = 553,505,032.08
  5. Step 5: Solve for x
    x = 553,505,032.08/25,912.64
  6. Step 6: Final answer
    x = 21,360.43

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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.