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Finding the Fourth Proportional to 13,038.06, 17,992.82 and 7,730.94

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Solution

The fourth proportional to 13,038.06, 17,992.82 and 7,730.94 is: 10,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.06 : 17,992.82 = 7,730.94 : x
  2. Step 2: Convert to fraction form
    13,038.06/17,992.82 = 7,730.94/x
  3. Step 3: Cross multiply
    13,038.06x = 17,992.82 × 7,730.94
  4. Step 4: Simplify right side
    13,038.06x = 139,101,411.85
  5. Step 5: Solve for x
    x = 139,101,411.85/13,038.06
  6. Step 6: Final answer
    x = 10,668.87

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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.