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Finding the Fourth Proportional to 14,096.25, 19,452.83 and 8,507.25

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Solution

The fourth proportional to 14,096.25, 19,452.83 and 8,507.25 is: 11,740.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.25 : 19,452.83 = 8,507.25 : x
  2. Step 2: Convert to fraction form
    14,096.25/19,452.83 = 8,507.25/x
  3. Step 3: Cross multiply
    14,096.25x = 19,452.83 × 8,507.25
  4. Step 4: Simplify right side
    14,096.25x = 165,490,088.02
  5. Step 5: Solve for x
    x = 165,490,088.02/14,096.25
  6. Step 6: Final answer
    x = 11,740.01

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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.