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Finding the Fourth Proportional to 14,092.16, 19,444.82 and 8,429.22

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Solution

The fourth proportional to 14,092.16, 19,444.82 and 8,429.22 is: 11,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,092.16 : 19,444.82 = 8,429.22 : x
  2. Step 2: Convert to fraction form
    14,092.16/19,444.82 = 8,429.22/x
  3. Step 3: Cross multiply
    14,092.16x = 19,444.82 × 8,429.22
  4. Step 4: Simplify right side
    14,092.16x = 163,904,623.49
  5. Step 5: Solve for x
    x = 163,904,623.49/14,092.16
  6. Step 6: Final answer
    x = 11,630.91

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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.