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Finding the Fourth Proportional to 14,911.64, 20,577.80 and 8,197.21

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Solution

The fourth proportional to 14,911.64, 20,577.80 and 8,197.21 is: 11,312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.64 : 20,577.80 = 8,197.21 : x
  2. Step 2: Convert to fraction form
    14,911.64/20,577.80 = 8,197.21/x
  3. Step 3: Cross multiply
    14,911.64x = 20,577.80 × 8,197.21
  4. Step 4: Simplify right side
    14,911.64x = 168,680,490.17
  5. Step 5: Solve for x
    x = 168,680,490.17/14,911.64
  6. Step 6: Final answer
    x = 11,312.00

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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.