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Finding the Fourth Proportional to 15,473.14, 23,205.99 and 7,145.16

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Solution

The fourth proportional to 15,473.14, 23,205.99 and 7,145.16 is: 10,716.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,473.14 : 23,205.99 = 7,145.16 : x
  2. Step 2: Convert to fraction form
    15,473.14/23,205.99 = 7,145.16/x
  3. Step 3: Cross multiply
    15,473.14x = 23,205.99 × 7,145.16
  4. Step 4: Simplify right side
    15,473.14x = 165,810,511.51
  5. Step 5: Solve for x
    x = 165,810,511.51/15,473.14
  6. Step 6: Final answer
    x = 10,716.02

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Why These Related Problems?

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