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Finding the Fourth Proportional to 14,601.60, 21,904.56 and 5,836.32

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Solution

The fourth proportional to 14,601.60, 21,904.56 and 5,836.32 is: 8,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,601.60 : 21,904.56 = 5,836.32 : x
  2. Step 2: Convert to fraction form
    14,601.60/21,904.56 = 5,836.32/x
  3. Step 3: Cross multiply
    14,601.60x = 21,904.56 × 5,836.32
  4. Step 4: Simplify right side
    14,601.60x = 127,842,021.62
  5. Step 5: Solve for x
    x = 127,842,021.62/14,601.60
  6. Step 6: Final answer
    x = 8,755.34

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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.