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Finding the Fourth Proportional to 16,407.39, 24,611.44 and 5,878.10

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Solution

The fourth proportional to 16,407.39, 24,611.44 and 5,878.10 is: 8,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.39 : 24,611.44 = 5,878.10 : x
  2. Step 2: Convert to fraction form
    16,407.39/24,611.44 = 5,878.10/x
  3. Step 3: Cross multiply
    16,407.39x = 24,611.44 × 5,878.10
  4. Step 4: Simplify right side
    16,407.39x = 144,668,505.46
  5. Step 5: Solve for x
    x = 144,668,505.46/16,407.39
  6. Step 6: Final answer
    x = 8,817.28

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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.