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Finding the Fourth Proportional to 12,291.62, 18,455.82 and 7,032.56

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Solution

The fourth proportional to 12,291.62, 18,455.82 and 7,032.56 is: 10,559.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.62 : 18,455.82 = 7,032.56 : x
  2. Step 2: Convert to fraction form
    12,291.62/18,455.82 = 7,032.56/x
  3. Step 3: Cross multiply
    12,291.62x = 18,455.82 × 7,032.56
  4. Step 4: Simplify right side
    12,291.62x = 129,791,602.19
  5. Step 5: Solve for x
    x = 129,791,602.19/12,291.62
  6. Step 6: Final answer
    x = 10,559.36

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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.