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Finding the Fourth Proportional to 16,384.84, 24,575.32 and 4,539.48

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Solution

The fourth proportional to 16,384.84, 24,575.32 and 4,539.48 is: 6,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.84 : 24,575.32 = 4,539.48 : x
  2. Step 2: Convert to fraction form
    16,384.84/24,575.32 = 4,539.48/x
  3. Step 3: Cross multiply
    16,384.84x = 24,575.32 × 4,539.48
  4. Step 4: Simplify right side
    16,384.84x = 111,559,173.63
  5. Step 5: Solve for x
    x = 111,559,173.63/16,384.84
  6. Step 6: Final answer
    x = 6,808.68

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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.