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Finding the Fourth Proportional to 14,587.64, 20,131.34 and 8,922.29

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Solution

The fourth proportional to 14,587.64, 20,131.34 and 8,922.29 is: 12,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,587.64 : 20,131.34 = 8,922.29 : x
  2. Step 2: Convert to fraction form
    14,587.64/20,131.34 = 8,922.29/x
  3. Step 3: Cross multiply
    14,587.64x = 20,131.34 × 8,922.29
  4. Step 4: Simplify right side
    14,587.64x = 179,617,608.96
  5. Step 5: Solve for x
    x = 179,617,608.96/14,587.64
  6. Step 6: Final answer
    x = 12,313.00

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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.