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Finding the Fourth Proportional to 17,205, 25,807.45 and 4,725.04

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Solution

The fourth proportional to 17,205, 25,807.45 and 4,725.04 is: 7,087.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205 : 25,807.45 = 4,725.04 : x
  2. Step 2: Convert to fraction form
    17,205/25,807.45 = 4,725.04/x
  3. Step 3: Cross multiply
    17,205x = 25,807.45 × 4,725.04
  4. Step 4: Simplify right side
    17,205x = 121,941,233.55
  5. Step 5: Solve for x
    x = 121,941,233.55/17,205
  6. Step 6: Final answer
    x = 7,087.55

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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.