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Finding the Fourth Proportional to 14,583.30, 20,114.30 and 9,539.43

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Solution

The fourth proportional to 14,583.30, 20,114.30 and 9,539.43 is: 13,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,583.30 : 20,114.30 = 9,539.43 : x
  2. Step 2: Convert to fraction form
    14,583.30/20,114.30 = 9,539.43/x
  3. Step 3: Cross multiply
    14,583.30x = 20,114.30 × 9,539.43
  4. Step 4: Simplify right side
    14,583.30x = 191,878,909.15
  5. Step 5: Solve for x
    x = 191,878,909.15/14,583.30
  6. Step 6: Final answer
    x = 13,157.44

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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.