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Finding the Fourth Proportional to 12,802.05, 17,669.73 and 8,317.98

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Solution

The fourth proportional to 12,802.05, 17,669.73 and 8,317.98 is: 11,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.05 : 17,669.73 = 8,317.98 : x
  2. Step 2: Convert to fraction form
    12,802.05/17,669.73 = 8,317.98/x
  3. Step 3: Cross multiply
    12,802.05x = 17,669.73 × 8,317.98
  4. Step 4: Simplify right side
    12,802.05x = 146,976,460.75
  5. Step 5: Solve for x
    x = 146,976,460.75/12,802.05
  6. Step 6: Final answer
    x = 11,480.70

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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.