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Finding the Fourth Proportional to 12,969.36, 19,458.14 and 4,649.16

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Solution

The fourth proportional to 12,969.36, 19,458.14 and 4,649.16 is: 6,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,969.36 : 19,458.14 = 4,649.16 : x
  2. Step 2: Convert to fraction form
    12,969.36/19,458.14 = 4,649.16/x
  3. Step 3: Cross multiply
    12,969.36x = 19,458.14 × 4,649.16
  4. Step 4: Simplify right side
    12,969.36x = 90,464,006.16
  5. Step 5: Solve for x
    x = 90,464,006.16/12,969.36
  6. Step 6: Final answer
    x = 6,975.21

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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.