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Finding the Fourth Proportional to 13,641.33, 20,459.70 and 4,407.33

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Solution

The fourth proportional to 13,641.33, 20,459.70 and 4,407.33 is: 6,610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.33 : 20,459.70 = 4,407.33 : x
  2. Step 2: Convert to fraction form
    13,641.33/20,459.70 = 4,407.33/x
  3. Step 3: Cross multiply
    13,641.33x = 20,459.70 × 4,407.33
  4. Step 4: Simplify right side
    13,641.33x = 90,172,649.60
  5. Step 5: Solve for x
    x = 90,172,649.60/13,641.33
  6. Step 6: Final answer
    x = 6,610.25

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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.