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Finding the Fourth Proportional to 20,904.75, 31,357.13 and 7,053.75

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Solution

The fourth proportional to 20,904.75, 31,357.13 and 7,053.75 is: 10,580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,904.75 : 31,357.13 = 7,053.75 : x
  2. Step 2: Convert to fraction form
    20,904.75/31,357.13 = 7,053.75/x
  3. Step 3: Cross multiply
    20,904.75x = 31,357.13 × 7,053.75
  4. Step 4: Simplify right side
    20,904.75x = 221,185,320.47
  5. Step 5: Solve for x
    x = 221,185,320.47/20,904.75
  6. Step 6: Final answer
    x = 10,580.63

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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.