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Finding the Fourth Proportional to 12,788.69, 17,647.20 and 7,122.87

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Solution

The fourth proportional to 12,788.69, 17,647.20 and 7,122.87 is: 9,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.69 : 17,647.20 = 7,122.87 : x
  2. Step 2: Convert to fraction form
    12,788.69/17,647.20 = 7,122.87/x
  3. Step 3: Cross multiply
    12,788.69x = 17,647.20 × 7,122.87
  4. Step 4: Simplify right side
    12,788.69x = 125,698,711.46
  5. Step 5: Solve for x
    x = 125,698,711.46/12,788.69
  6. Step 6: Final answer
    x = 9,828.90

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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.