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Finding the Fourth Proportional to 14,539.16, 20,062.44 and 8,164.46

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Solution

The fourth proportional to 14,539.16, 20,062.44 and 8,164.46 is: 11,266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.16 : 20,062.44 = 8,164.46 : x
  2. Step 2: Convert to fraction form
    14,539.16/20,062.44 = 8,164.46/x
  3. Step 3: Cross multiply
    14,539.16x = 20,062.44 × 8,164.46
  4. Step 4: Simplify right side
    14,539.16x = 163,798,888.57
  5. Step 5: Solve for x
    x = 163,798,888.57/14,539.16
  6. Step 6: Final answer
    x = 11,266.05

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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.