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Finding the Fourth Proportional to 15,712.64, 21,683.28 and 11,697.42

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Solution

The fourth proportional to 15,712.64, 21,683.28 and 11,697.42 is: 16,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.64 : 21,683.28 = 11,697.42 : x
  2. Step 2: Convert to fraction form
    15,712.64/21,683.28 = 11,697.42/x
  3. Step 3: Cross multiply
    15,712.64x = 21,683.28 × 11,697.42
  4. Step 4: Simplify right side
    15,712.64x = 253,638,433.14
  5. Step 5: Solve for x
    x = 253,638,433.14/15,712.64
  6. Step 6: Final answer
    x = 16,142.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.