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Finding the Fourth Proportional to 16,192.64, 22,345.42 and 9,118.64

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Solution

The fourth proportional to 16,192.64, 22,345.42 and 9,118.64 is: 12,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.64 : 22,345.42 = 9,118.64 : x
  2. Step 2: Convert to fraction form
    16,192.64/22,345.42 = 9,118.64/x
  3. Step 3: Cross multiply
    16,192.64x = 22,345.42 × 9,118.64
  4. Step 4: Simplify right side
    16,192.64x = 203,759,840.63
  5. Step 5: Solve for x
    x = 203,759,840.63/16,192.64
  6. Step 6: Final answer
    x = 12,583.48

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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.