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Finding the Fourth Proportional to 12,829.09, 17,696.47 and 7,790.76

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Solution

The fourth proportional to 12,829.09, 17,696.47 and 7,790.76 is: 10,746.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.09 : 17,696.47 = 7,790.76 : x
  2. Step 2: Convert to fraction form
    12,829.09/17,696.47 = 7,790.76/x
  3. Step 3: Cross multiply
    12,829.09x = 17,696.47 × 7,790.76
  4. Step 4: Simplify right side
    12,829.09x = 137,868,950.62
  5. Step 5: Solve for x
    x = 137,868,950.62/12,829.09
  6. Step 6: Final answer
    x = 10,746.59

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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.