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Finding the Fourth Proportional to 12,029.48, 17,998.86 and 7,101.80

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Solution

The fourth proportional to 12,029.48, 17,998.86 and 7,101.80 is: 10,625.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,029.48 : 17,998.86 = 7,101.80 : x
  2. Step 2: Convert to fraction form
    12,029.48/17,998.86 = 7,101.80/x
  3. Step 3: Cross multiply
    12,029.48x = 17,998.86 × 7,101.80
  4. Step 4: Simplify right side
    12,029.48x = 127,824,303.95
  5. Step 5: Solve for x
    x = 127,824,303.95/12,029.48
  6. Step 6: Final answer
    x = 10,625.92

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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.