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Finding the Fourth Proportional to 12,848.52, 17,733.92 and 8,364.47

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Solution

The fourth proportional to 12,848.52, 17,733.92 and 8,364.47 is: 11,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.52 : 17,733.92 = 8,364.47 : x
  2. Step 2: Convert to fraction form
    12,848.52/17,733.92 = 8,364.47/x
  3. Step 3: Cross multiply
    12,848.52x = 17,733.92 × 8,364.47
  4. Step 4: Simplify right side
    12,848.52x = 148,334,711.33
  5. Step 5: Solve for x
    x = 148,334,711.33/12,848.52
  6. Step 6: Final answer
    x = 11,544.89

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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.