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Finding the Fourth Proportional to 12,907.63, 19,359.12 and 3,420.01

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Solution

The fourth proportional to 12,907.63, 19,359.12 and 3,420.01 is: 5,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.63 : 19,359.12 = 3,420.01 : x
  2. Step 2: Convert to fraction form
    12,907.63/19,359.12 = 3,420.01/x
  3. Step 3: Cross multiply
    12,907.63x = 19,359.12 × 3,420.01
  4. Step 4: Simplify right side
    12,907.63x = 66,208,287.20
  5. Step 5: Solve for x
    x = 66,208,287.20/12,907.63
  6. Step 6: Final answer
    x = 5,129.39

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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.