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Finding the Fourth Proportional to 12,337.98, 17,022.27 and 7,029.06

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Solution

The fourth proportional to 12,337.98, 17,022.27 and 7,029.06 is: 9,697.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.98 : 17,022.27 = 7,029.06 : x
  2. Step 2: Convert to fraction form
    12,337.98/17,022.27 = 7,029.06/x
  3. Step 3: Cross multiply
    12,337.98x = 17,022.27 × 7,029.06
  4. Step 4: Simplify right side
    12,337.98x = 119,650,557.17
  5. Step 5: Solve for x
    x = 119,650,557.17/12,337.98
  6. Step 6: Final answer
    x = 9,697.74

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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.