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Finding the Fourth Proportional to 12,066.51, 18,097.34 and 3,302.31

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Solution

The fourth proportional to 12,066.51, 18,097.34 and 3,302.31 is: 4,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.51 : 18,097.34 = 3,302.31 : x
  2. Step 2: Convert to fraction form
    12,066.51/18,097.34 = 3,302.31/x
  3. Step 3: Cross multiply
    12,066.51x = 18,097.34 × 3,302.31
  4. Step 4: Simplify right side
    12,066.51x = 59,763,010.34
  5. Step 5: Solve for x
    x = 59,763,010.34/12,066.51
  6. Step 6: Final answer
    x = 4,952.80

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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.