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Finding the Fourth Proportional to 12,688.68, 17,510.13 and 7,023.81

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Solution

The fourth proportional to 12,688.68, 17,510.13 and 7,023.81 is: 9,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.68 : 17,510.13 = 7,023.81 : x
  2. Step 2: Convert to fraction form
    12,688.68/17,510.13 = 7,023.81/x
  3. Step 3: Cross multiply
    12,688.68x = 17,510.13 × 7,023.81
  4. Step 4: Simplify right side
    12,688.68x = 122,987,826.20
  5. Step 5: Solve for x
    x = 122,987,826.20/12,688.68
  6. Step 6: Final answer
    x = 9,692.72

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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.