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Finding the Fourth Proportional to 16,192.30, 22,319.13 and 14,005.30

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Solution

The fourth proportional to 16,192.30, 22,319.13 and 14,005.30 is: 19,304.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,192.30 : 22,319.13 = 14,005.30 : x
  2. Step 2: Convert to fraction form
    16,192.30/22,319.13 = 14,005.30/x
  3. Step 3: Cross multiply
    16,192.30x = 22,319.13 × 14,005.30
  4. Step 4: Simplify right side
    16,192.30x = 312,586,111.39
  5. Step 5: Solve for x
    x = 312,586,111.39/16,192.30
  6. Step 6: Final answer
    x = 19,304.61

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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.