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Finding the Fourth Proportional to 15,852.20, 23,784.93 and 6,962.94

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Solution

The fourth proportional to 15,852.20, 23,784.93 and 6,962.94 is: 10,447.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,852.20 : 23,784.93 = 6,962.94 : x
  2. Step 2: Convert to fraction form
    15,852.20/23,784.93 = 6,962.94/x
  3. Step 3: Cross multiply
    15,852.20x = 23,784.93 × 6,962.94
  4. Step 4: Simplify right side
    15,852.20x = 165,613,040.49
  5. Step 5: Solve for x
    x = 165,613,040.49/15,852.20
  6. Step 6: Final answer
    x = 10,447.33

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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.