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Finding the Fourth Proportional to 22,567.60, 33,856.80 and 9,412.66

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Solution

The fourth proportional to 22,567.60, 33,856.80 and 9,412.66 is: 14,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,567.60 : 33,856.80 = 9,412.66 : x
  2. Step 2: Convert to fraction form
    22,567.60/33,856.80 = 9,412.66/x
  3. Step 3: Cross multiply
    22,567.60x = 33,856.80 × 9,412.66
  4. Step 4: Simplify right side
    22,567.60x = 318,682,547.09
  5. Step 5: Solve for x
    x = 318,682,547.09/22,567.60
  6. Step 6: Final answer
    x = 14,121.24

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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.