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Finding the Fourth Proportional to 18,323.82, 27,465.33 and 7,802.63

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Solution

The fourth proportional to 18,323.82, 27,465.33 and 7,802.63 is: 11,695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,323.82 : 27,465.33 = 7,802.63 : x
  2. Step 2: Convert to fraction form
    18,323.82/27,465.33 = 7,802.63/x
  3. Step 3: Cross multiply
    18,323.82x = 27,465.33 × 7,802.63
  4. Step 4: Simplify right side
    18,323.82x = 214,301,802.75
  5. Step 5: Solve for x
    x = 214,301,802.75/18,323.82
  6. Step 6: Final answer
    x = 11,695.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.