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Finding the Fourth Proportional to 15,032, 22,523.60 and 9,170.80

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Solution

The fourth proportional to 15,032, 22,523.60 and 9,170.80 is: 13,741.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,032 : 22,523.60 = 9,170.80 : x
  2. Step 2: Convert to fraction form
    15,032/22,523.60 = 9,170.80/x
  3. Step 3: Cross multiply
    15,032x = 22,523.60 × 9,170.80
  4. Step 4: Simplify right side
    15,032x = 206,559,430.88
  5. Step 5: Solve for x
    x = 206,559,430.88/15,032
  6. Step 6: Final answer
    x = 13,741.31

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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.