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Finding the Fourth Proportional to 12,907.13, 19,358.37 and 3,419.51

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Solution

The fourth proportional to 12,907.13, 19,358.37 and 3,419.51 is: 5,128.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.13 : 19,358.37 = 3,419.51 : x
  2. Step 2: Convert to fraction form
    12,907.13/19,358.37 = 3,419.51/x
  3. Step 3: Cross multiply
    12,907.13x = 19,358.37 × 3,419.51
  4. Step 4: Simplify right side
    12,907.13x = 66,196,043.01
  5. Step 5: Solve for x
    x = 66,196,043.01/12,907.13
  6. Step 6: Final answer
    x = 5,128.64

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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.