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Finding the Fourth Proportional to 12,688.10, 17,509.14 and 7,022.76

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Solution

The fourth proportional to 12,688.10, 17,509.14 and 7,022.76 is: 9,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,688.10 : 17,509.14 = 7,022.76 : x
  2. Step 2: Convert to fraction form
    12,688.10/17,509.14 = 7,022.76/x
  3. Step 3: Cross multiply
    12,688.10x = 17,509.14 × 7,022.76
  4. Step 4: Simplify right side
    12,688.10x = 122,962,488.03
  5. Step 5: Solve for x
    x = 122,962,488.03/12,688.10
  6. Step 6: Final answer
    x = 9,691.17

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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.