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Finding the Fourth Proportional to 19,919.12, 27,485.28 and 11,534

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Solution

The fourth proportional to 19,919.12, 27,485.28 and 11,534 is: 15,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,919.12 : 27,485.28 = 11,534 : x
  2. Step 2: Convert to fraction form
    19,919.12/27,485.28 = 11,534/x
  3. Step 3: Cross multiply
    19,919.12x = 27,485.28 × 11,534
  4. Step 4: Simplify right side
    19,919.12x = 317,015,219.52
  5. Step 5: Solve for x
    x = 317,015,219.52/19,919.12
  6. Step 6: Final answer
    x = 15,915.12

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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.