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Finding the Fourth Proportional to 38,857.92, 58,292.64 and 14,232

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Solution

The fourth proportional to 38,857.92, 58,292.64 and 14,232 is: 21,350.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,857.92 : 58,292.64 = 14,232 : x
  2. Step 2: Convert to fraction form
    38,857.92/58,292.64 = 14,232/x
  3. Step 3: Cross multiply
    38,857.92x = 58,292.64 × 14,232
  4. Step 4: Simplify right side
    38,857.92x = 829,620,852.48
  5. Step 5: Solve for x
    x = 829,620,852.48/38,857.92
  6. Step 6: Final answer
    x = 21,350.11

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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.