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Finding the Fourth Proportional to 12,907.45, 19,312.26 and 7,645.28

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Solution

The fourth proportional to 12,907.45, 19,312.26 and 7,645.28 is: 11,438.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.45 : 19,312.26 = 7,645.28 : x
  2. Step 2: Convert to fraction form
    12,907.45/19,312.26 = 7,645.28/x
  3. Step 3: Cross multiply
    12,907.45x = 19,312.26 × 7,645.28
  4. Step 4: Simplify right side
    12,907.45x = 147,647,635.13
  5. Step 5: Solve for x
    x = 147,647,635.13/12,907.45
  6. Step 6: Final answer
    x = 11,438.95

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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.