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Finding the Fourth Proportional to 20,307.93, 30,458.75 and 7,833.80

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Solution

The fourth proportional to 20,307.93, 30,458.75 and 7,833.80 is: 11,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,307.93 : 30,458.75 = 7,833.80 : x
  2. Step 2: Convert to fraction form
    20,307.93/30,458.75 = 7,833.80/x
  3. Step 3: Cross multiply
    20,307.93x = 30,458.75 × 7,833.80
  4. Step 4: Simplify right side
    20,307.93x = 238,607,603.46
  5. Step 5: Solve for x
    x = 238,607,603.46/20,307.93
  6. Step 6: Final answer
    x = 11,749.48

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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.