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Finding the Fourth Proportional to 12,848.74, 17,733.27 and 7,814.54

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Solution

The fourth proportional to 12,848.74, 17,733.27 and 7,814.54 is: 10,785.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,848.74 : 17,733.27 = 7,814.54 : x
  2. Step 2: Convert to fraction form
    12,848.74/17,733.27 = 7,814.54/x
  3. Step 3: Cross multiply
    12,848.74x = 17,733.27 × 7,814.54
  4. Step 4: Simplify right side
    12,848.74x = 138,577,291.63
  5. Step 5: Solve for x
    x = 138,577,291.63/12,848.74
  6. Step 6: Final answer
    x = 10,785.28

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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.