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Finding the Fourth Proportional to 12,567.85, 18,852.22 and 6,324.46

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Solution

The fourth proportional to 12,567.85, 18,852.22 and 6,324.46 is: 9,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.85 : 18,852.22 = 6,324.46 : x
  2. Step 2: Convert to fraction form
    12,567.85/18,852.22 = 6,324.46/x
  3. Step 3: Cross multiply
    12,567.85x = 18,852.22 × 6,324.46
  4. Step 4: Simplify right side
    12,567.85x = 119,230,111.30
  5. Step 5: Solve for x
    x = 119,230,111.30/12,567.85
  6. Step 6: Final answer
    x = 9,486.91

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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.