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Finding the Fourth Proportional to 22,567.56, 33,842 and 8,525.20

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Solution

The fourth proportional to 22,567.56, 33,842 and 8,525.20 is: 12,784.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.56 : 33,842 = 8,525.20 : x
  2. Step 2: Convert to fraction form
    22,567.56/33,842 = 8,525.20/x
  3. Step 3: Cross multiply
    22,567.56x = 33,842 × 8,525.20
  4. Step 4: Simplify right side
    22,567.56x = 288,509,818.40
  5. Step 5: Solve for x
    x = 288,509,818.40/22,567.56
  6. Step 6: Final answer
    x = 12,784.27

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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.