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Finding the Fourth Proportional to 14,181.98, 19,571.22 and 7,894.35

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Solution

The fourth proportional to 14,181.98, 19,571.22 and 7,894.35 is: 10,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.98 : 19,571.22 = 7,894.35 : x
  2. Step 2: Convert to fraction form
    14,181.98/19,571.22 = 7,894.35/x
  3. Step 3: Cross multiply
    14,181.98x = 19,571.22 × 7,894.35
  4. Step 4: Simplify right side
    14,181.98x = 154,502,060.61
  5. Step 5: Solve for x
    x = 154,502,060.61/14,181.98
  6. Step 6: Final answer
    x = 10,894.26

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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.