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Finding the Fourth Proportional to 12,688.47, 17,510.94 and 7,023.44

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Solution

The fourth proportional to 12,688.47, 17,510.94 and 7,023.44 is: 9,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.47 : 17,510.94 = 7,023.44 : x
  2. Step 2: Convert to fraction form
    12,688.47/17,510.94 = 7,023.44/x
  3. Step 3: Cross multiply
    12,688.47x = 17,510.94 × 7,023.44
  4. Step 4: Simplify right side
    12,688.47x = 122,986,948.88
  5. Step 5: Solve for x
    x = 122,986,948.88/12,688.47
  6. Step 6: Final answer
    x = 9,692.81

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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.