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Finding the Fourth Proportional to 14,882.70, 20,539.10 and 9,838.10

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Solution

The fourth proportional to 14,882.70, 20,539.10 and 9,838.10 is: 13,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.70 : 20,539.10 = 9,838.10 : x
  2. Step 2: Convert to fraction form
    14,882.70/20,539.10 = 9,838.10/x
  3. Step 3: Cross multiply
    14,882.70x = 20,539.10 × 9,838.10
  4. Step 4: Simplify right side
    14,882.70x = 202,065,567.82
  5. Step 5: Solve for x
    x = 202,065,567.82/14,882.70
  6. Step 6: Final answer
    x = 13,577.21

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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.