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Finding the Fourth Proportional to 12,789.14, 17,647.89 and 7,123.46

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Solution

The fourth proportional to 12,789.14, 17,647.89 and 7,123.46 is: 9,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,789.14 : 17,647.89 = 7,123.46 : x
  2. Step 2: Convert to fraction form
    12,789.14/17,647.89 = 7,123.46/x
  3. Step 3: Cross multiply
    12,789.14x = 17,647.89 × 7,123.46
  4. Step 4: Simplify right side
    12,789.14x = 125,714,038.50
  5. Step 5: Solve for x
    x = 125,714,038.50/12,789.14
  6. Step 6: Final answer
    x = 9,829.75

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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.