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Finding the Fourth Proportional to 12,567.69, 18,852.14 and 8,416.04

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Solution

The fourth proportional to 12,567.69, 18,852.14 and 8,416.04 is: 12,624.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.69 : 18,852.14 = 8,416.04 : x
  2. Step 2: Convert to fraction form
    12,567.69/18,852.14 = 8,416.04/x
  3. Step 3: Cross multiply
    12,567.69x = 18,852.14 × 8,416.04
  4. Step 4: Simplify right side
    12,567.69x = 158,660,291.10
  5. Step 5: Solve for x
    x = 158,660,291.10/12,567.69
  6. Step 6: Final answer
    x = 12,624.46

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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.