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Finding the Fourth Proportional to 12,619.06, 17,414.13 and 7,030.06

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Solution

The fourth proportional to 12,619.06, 17,414.13 and 7,030.06 is: 9,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,619.06 : 17,414.13 = 7,030.06 : x
  2. Step 2: Convert to fraction form
    12,619.06/17,414.13 = 7,030.06/x
  3. Step 3: Cross multiply
    12,619.06x = 17,414.13 × 7,030.06
  4. Step 4: Simplify right side
    12,619.06x = 122,422,378.75
  5. Step 5: Solve for x
    x = 122,422,378.75/12,619.06
  6. Step 6: Final answer
    x = 9,701.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.