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Finding the Fourth Proportional to 14,891.64, 20,549.10 and 8,923.20

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Solution

The fourth proportional to 14,891.64, 20,549.10 and 8,923.20 is: 12,313.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.64 : 20,549.10 = 8,923.20 : x
  2. Step 2: Convert to fraction form
    14,891.64/20,549.10 = 8,923.20/x
  3. Step 3: Cross multiply
    14,891.64x = 20,549.10 × 8,923.20
  4. Step 4: Simplify right side
    14,891.64x = 183,363,729.12
  5. Step 5: Solve for x
    x = 183,363,729.12/14,891.64
  6. Step 6: Final answer
    x = 12,313.20

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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.