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Finding the Fourth Proportional to 16,407, 24,611.70 and 6,019.80

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Solution

The fourth proportional to 16,407, 24,611.70 and 6,019.80 is: 9,030.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407 : 24,611.70 = 6,019.80 : x
  2. Step 2: Convert to fraction form
    16,407/24,611.70 = 6,019.80/x
  3. Step 3: Cross multiply
    16,407x = 24,611.70 × 6,019.80
  4. Step 4: Simplify right side
    16,407x = 148,157,511.66
  5. Step 5: Solve for x
    x = 148,157,511.66/16,407
  6. Step 6: Final answer
    x = 9,030.14

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Why These Related Problems?

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