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Finding the Fourth Proportional to 14,645.66, 21,965.20 and 6,740.60

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Solution

The fourth proportional to 14,645.66, 21,965.20 and 6,740.60 is: 10,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,645.66 : 21,965.20 = 6,740.60 : x
  2. Step 2: Convert to fraction form
    14,645.66/21,965.20 = 6,740.60/x
  3. Step 3: Cross multiply
    14,645.66x = 21,965.20 × 6,740.60
  4. Step 4: Simplify right side
    14,645.66x = 148,058,627.12
  5. Step 5: Solve for x
    x = 148,058,627.12/14,645.66
  6. Step 6: Final answer
    x = 10,109.39

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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.