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Finding the Fourth Proportional to 14,828, 20,462.96 and 8,539.36

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Solution

The fourth proportional to 14,828, 20,462.96 and 8,539.36 is: 11,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,828 : 20,462.96 = 8,539.36 : x
  2. Step 2: Convert to fraction form
    14,828/20,462.96 = 8,539.36/x
  3. Step 3: Cross multiply
    14,828x = 20,462.96 × 8,539.36
  4. Step 4: Simplify right side
    14,828x = 174,740,582.11
  5. Step 5: Solve for x
    x = 174,740,582.11/14,828
  6. Step 6: Final answer
    x = 11,784.50

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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.