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Finding the Fourth Proportional to 19,147.94, 28,710.39 and 7,302.50

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Solution

The fourth proportional to 19,147.94, 28,710.39 and 7,302.50 is: 10,949.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,147.94 : 28,710.39 = 7,302.50 : x
  2. Step 2: Convert to fraction form
    19,147.94/28,710.39 = 7,302.50/x
  3. Step 3: Cross multiply
    19,147.94x = 28,710.39 × 7,302.50
  4. Step 4: Simplify right side
    19,147.94x = 209,657,622.98
  5. Step 5: Solve for x
    x = 209,657,622.98/19,147.94
  6. Step 6: Final answer
    x = 10,949.36

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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.