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Finding the Fourth Proportional to 12,802.18, 17,667.06 and 7,495.96

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Solution

The fourth proportional to 12,802.18, 17,667.06 and 7,495.96 is: 10,344.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.18 : 17,667.06 = 7,495.96 : x
  2. Step 2: Convert to fraction form
    12,802.18/17,667.06 = 7,495.96/x
  3. Step 3: Cross multiply
    12,802.18x = 17,667.06 × 7,495.96
  4. Step 4: Simplify right side
    12,802.18x = 132,431,575.08
  5. Step 5: Solve for x
    x = 132,431,575.08/12,802.18
  6. Step 6: Final answer
    x = 10,344.46

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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.