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Finding the Fourth Proportional to 14,829.84, 20,462.04 and 8,539.92

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Solution

The fourth proportional to 14,829.84, 20,462.04 and 8,539.92 is: 11,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.84 : 20,462.04 = 8,539.92 : x
  2. Step 2: Convert to fraction form
    14,829.84/20,462.04 = 8,539.92/x
  3. Step 3: Cross multiply
    14,829.84x = 20,462.04 × 8,539.92
  4. Step 4: Simplify right side
    14,829.84x = 174,744,184.64
  5. Step 5: Solve for x
    x = 174,744,184.64/14,829.84
  6. Step 6: Final answer
    x = 11,783.28

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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.