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Finding the Fourth Proportional to 38,970.32, 58,467 and 11,268.56

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Solution

The fourth proportional to 38,970.32, 58,467 and 11,268.56 is: 16,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.32 : 58,467 = 11,268.56 : x
  2. Step 2: Convert to fraction form
    38,970.32/58,467 = 11,268.56/x
  3. Step 3: Cross multiply
    38,970.32x = 58,467 × 11,268.56
  4. Step 4: Simplify right side
    38,970.32x = 658,838,897.52
  5. Step 5: Solve for x
    x = 658,838,897.52/38,970.32
  6. Step 6: Final answer
    x = 16,906.17

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