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Finding the Fourth Proportional to 12,152.30, 16,770.10 and 6,848.82

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Solution

The fourth proportional to 12,152.30, 16,770.10 and 6,848.82 is: 9,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.30 : 16,770.10 = 6,848.82 : x
  2. Step 2: Convert to fraction form
    12,152.30/16,770.10 = 6,848.82/x
  3. Step 3: Cross multiply
    12,152.30x = 16,770.10 × 6,848.82
  4. Step 4: Simplify right side
    12,152.30x = 114,855,396.28
  5. Step 5: Solve for x
    x = 114,855,396.28/12,152.30
  6. Step 6: Final answer
    x = 9,451.33

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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.