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Finding the Fourth Proportional to 15,408.16, 23,114.40 and 6,647.20

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Solution

The fourth proportional to 15,408.16, 23,114.40 and 6,647.20 is: 9,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408.16 : 23,114.40 = 6,647.20 : x
  2. Step 2: Convert to fraction form
    15,408.16/23,114.40 = 6,647.20/x
  3. Step 3: Cross multiply
    15,408.16x = 23,114.40 × 6,647.20
  4. Step 4: Simplify right side
    15,408.16x = 153,646,039.68
  5. Step 5: Solve for x
    x = 153,646,039.68/15,408.16
  6. Step 6: Final answer
    x = 9,971.73

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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.