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Finding the Fourth Proportional to 14,480, 19,982.42 and 8,192.24

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Solution

The fourth proportional to 14,480, 19,982.42 and 8,192.24 is: 11,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480 : 19,982.42 = 8,192.24 : x
  2. Step 2: Convert to fraction form
    14,480/19,982.42 = 8,192.24/x
  3. Step 3: Cross multiply
    14,480x = 19,982.42 × 8,192.24
  4. Step 4: Simplify right side
    14,480x = 163,700,780.42
  5. Step 5: Solve for x
    x = 163,700,780.42/14,480
  6. Step 6: Final answer
    x = 11,305.30

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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.