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Finding the Fourth Proportional to 16,342.54, 22,534.67 and 11,298

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Solution

The fourth proportional to 16,342.54, 22,534.67 and 11,298 is: 15,578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.54 : 22,534.67 = 11,298 : x
  2. Step 2: Convert to fraction form
    16,342.54/22,534.67 = 11,298/x
  3. Step 3: Cross multiply
    16,342.54x = 22,534.67 × 11,298
  4. Step 4: Simplify right side
    16,342.54x = 254,596,701.66
  5. Step 5: Solve for x
    x = 254,596,701.66/16,342.54
  6. Step 6: Final answer
    x = 15,578.77

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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.