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Finding the Fourth Proportional to 12,302.25, 18,452.26 and 7,368.29

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Solution

The fourth proportional to 12,302.25, 18,452.26 and 7,368.29 is: 11,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.25 : 18,452.26 = 7,368.29 : x
  2. Step 2: Convert to fraction form
    12,302.25/18,452.26 = 7,368.29/x
  3. Step 3: Cross multiply
    12,302.25x = 18,452.26 × 7,368.29
  4. Step 4: Simplify right side
    12,302.25x = 135,961,602.84
  5. Step 5: Solve for x
    x = 135,961,602.84/12,302.25
  6. Step 6: Final answer
    x = 11,051.77

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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.