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Finding the Fourth Proportional to 12,334.47, 17,022.02 and 7,029.15

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Solution

The fourth proportional to 12,334.47, 17,022.02 and 7,029.15 is: 9,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.47 : 17,022.02 = 7,029.15 : x
  2. Step 2: Convert to fraction form
    12,334.47/17,022.02 = 7,029.15/x
  3. Step 3: Cross multiply
    12,334.47x = 17,022.02 × 7,029.15
  4. Step 4: Simplify right side
    12,334.47x = 119,650,331.88
  5. Step 5: Solve for x
    x = 119,650,331.88/12,334.47
  6. Step 6: Final answer
    x = 9,700.48

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