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Finding the Fourth Proportional to 17,099.84, 25,653 and 5,412.08

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Solution

The fourth proportional to 17,099.84, 25,653 and 5,412.08 is: 8,119.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.84 : 25,653 = 5,412.08 : x
  2. Step 2: Convert to fraction form
    17,099.84/25,653 = 5,412.08/x
  3. Step 3: Cross multiply
    17,099.84x = 25,653 × 5,412.08
  4. Step 4: Simplify right side
    17,099.84x = 138,836,088.24
  5. Step 5: Solve for x
    x = 138,836,088.24/17,099.84
  6. Step 6: Final answer
    x = 8,119.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.