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Finding the Fourth Proportional to 14,560.83, 20,080.98 and 9,851.49

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Solution

The fourth proportional to 14,560.83, 20,080.98 and 9,851.49 is: 13,586.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.83 : 20,080.98 = 9,851.49 : x
  2. Step 2: Convert to fraction form
    14,560.83/20,080.98 = 9,851.49/x
  3. Step 3: Cross multiply
    14,560.83x = 20,080.98 × 9,851.49
  4. Step 4: Simplify right side
    14,560.83x = 197,827,573.66
  5. Step 5: Solve for x
    x = 197,827,573.66/14,560.83
  6. Step 6: Final answer
    x = 13,586.28

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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.