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Finding the Fourth Proportional to 13,851.12, 19,111.32 and 7,882.32

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Solution

The fourth proportional to 13,851.12, 19,111.32 and 7,882.32 is: 10,875.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.12 : 19,111.32 = 7,882.32 : x
  2. Step 2: Convert to fraction form
    13,851.12/19,111.32 = 7,882.32/x
  3. Step 3: Cross multiply
    13,851.12x = 19,111.32 × 7,882.32
  4. Step 4: Simplify right side
    13,851.12x = 150,641,539.86
  5. Step 5: Solve for x
    x = 150,641,539.86/13,851.12
  6. Step 6: Final answer
    x = 10,875.77

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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.