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Finding the Fourth Proportional to 12,817.30, 19,228.36 and 4,053.50

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Solution

The fourth proportional to 12,817.30, 19,228.36 and 4,053.50 is: 6,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.30 : 19,228.36 = 4,053.50 : x
  2. Step 2: Convert to fraction form
    12,817.30/19,228.36 = 4,053.50/x
  3. Step 3: Cross multiply
    12,817.30x = 19,228.36 × 4,053.50
  4. Step 4: Simplify right side
    12,817.30x = 77,942,157.26
  5. Step 5: Solve for x
    x = 77,942,157.26/12,817.30
  6. Step 6: Final answer
    x = 6,081.01

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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.