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Finding the Fourth Proportional to 16,199.29, 22,355.54 and 9,485.52

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Solution

The fourth proportional to 16,199.29, 22,355.54 and 9,485.52 is: 13,090.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.29 : 22,355.54 = 9,485.52 : x
  2. Step 2: Convert to fraction form
    16,199.29/22,355.54 = 9,485.52/x
  3. Step 3: Cross multiply
    16,199.29x = 22,355.54 × 9,485.52
  4. Step 4: Simplify right side
    16,199.29x = 212,053,921.78
  5. Step 5: Solve for x
    x = 212,053,921.78/16,199.29
  6. Step 6: Final answer
    x = 13,090.32

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