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Finding the Fourth Proportional to 16,327.84, 24,492.27 and 7,777.45

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Solution

The fourth proportional to 16,327.84, 24,492.27 and 7,777.45 is: 11,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,327.84 : 24,492.27 = 7,777.45 : x
  2. Step 2: Convert to fraction form
    16,327.84/24,492.27 = 7,777.45/x
  3. Step 3: Cross multiply
    16,327.84x = 24,492.27 × 7,777.45
  4. Step 4: Simplify right side
    16,327.84x = 190,487,405.31
  5. Step 5: Solve for x
    x = 190,487,405.31/16,327.84
  6. Step 6: Final answer
    x = 11,666.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.