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Finding the Fourth Proportional to 12,148, 16,764.36 and 6,842.56

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Solution

The fourth proportional to 12,148, 16,764.36 and 6,842.56 is: 9,442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148 : 16,764.36 = 6,842.56 : x
  2. Step 2: Convert to fraction form
    12,148/16,764.36 = 6,842.56/x
  3. Step 3: Cross multiply
    12,148x = 16,764.36 × 6,842.56
  4. Step 4: Simplify right side
    12,148x = 114,711,139.16
  5. Step 5: Solve for x
    x = 114,711,139.16/12,148
  6. Step 6: Final answer
    x = 9,442.80

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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.