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Finding the Fourth Proportional to 12,825.81, 17,699.63 and 7,788.69

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Solution

The fourth proportional to 12,825.81, 17,699.63 and 7,788.69 is: 10,748.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.81 : 17,699.63 = 7,788.69 : x
  2. Step 2: Convert to fraction form
    12,825.81/17,699.63 = 7,788.69/x
  3. Step 3: Cross multiply
    12,825.81x = 17,699.63 × 7,788.69
  4. Step 4: Simplify right side
    12,825.81x = 137,856,892.24
  5. Step 5: Solve for x
    x = 137,856,892.24/12,825.81
  6. Step 6: Final answer
    x = 10,748.40

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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.