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Finding the Fourth Proportional to 15,605.12, 23,402.81 and 5,214.44

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Solution

The fourth proportional to 15,605.12, 23,402.81 and 5,214.44 is: 7,820.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.12 : 23,402.81 = 5,214.44 : x
  2. Step 2: Convert to fraction form
    15,605.12/23,402.81 = 5,214.44/x
  3. Step 3: Cross multiply
    15,605.12x = 23,402.81 × 5,214.44
  4. Step 4: Simplify right side
    15,605.12x = 122,032,548.58
  5. Step 5: Solve for x
    x = 122,032,548.58/15,605.12
  6. Step 6: Final answer
    x = 7,820.03

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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.