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Finding the Fourth Proportional to 14,444, 19,932.78 and 7,820

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Solution

The fourth proportional to 14,444, 19,932.78 and 7,820 is: 10,791.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,444 : 19,932.78 = 7,820 : x
  2. Step 2: Convert to fraction form
    14,444/19,932.78 = 7,820/x
  3. Step 3: Cross multiply
    14,444x = 19,932.78 × 7,820
  4. Step 4: Simplify right side
    14,444x = 155,874,339.60
  5. Step 5: Solve for x
    x = 155,874,339.60/14,444
  6. Step 6: Final answer
    x = 10,791.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.