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Finding the Fourth Proportional to 14,577.64, 20,113.72 and 8,610.20

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Solution

The fourth proportional to 14,577.64, 20,113.72 and 8,610.20 is: 11,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.64 : 20,113.72 = 8,610.20 : x
  2. Step 2: Convert to fraction form
    14,577.64/20,113.72 = 8,610.20/x
  3. Step 3: Cross multiply
    14,577.64x = 20,113.72 × 8,610.20
  4. Step 4: Simplify right side
    14,577.64x = 173,183,105.28
  5. Step 5: Solve for x
    x = 173,183,105.28/14,577.64
  6. Step 6: Final answer
    x = 11,880.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.