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Finding the Fourth Proportional to 13,997.64, 19,316.12 and 8,025.16

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Solution

The fourth proportional to 13,997.64, 19,316.12 and 8,025.16 is: 11,074.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.64 : 19,316.12 = 8,025.16 : x
  2. Step 2: Convert to fraction form
    13,997.64/19,316.12 = 8,025.16/x
  3. Step 3: Cross multiply
    13,997.64x = 19,316.12 × 8,025.16
  4. Step 4: Simplify right side
    13,997.64x = 155,014,953.58
  5. Step 5: Solve for x
    x = 155,014,953.58/13,997.64
  6. Step 6: Final answer
    x = 11,074.36

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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.