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Finding the Fourth Proportional to 14,882.68, 20,539.01 and 9,838.15

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Solution

The fourth proportional to 14,882.68, 20,539.01 and 9,838.15 is: 13,577.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.68 : 20,539.01 = 9,838.15 : x
  2. Step 2: Convert to fraction form
    14,882.68/20,539.01 = 9,838.15/x
  3. Step 3: Cross multiply
    14,882.68x = 20,539.01 × 9,838.15
  4. Step 4: Simplify right side
    14,882.68x = 202,065,861.23
  5. Step 5: Solve for x
    x = 202,065,861.23/14,882.68
  6. Step 6: Final answer
    x = 13,577.25

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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.