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Finding the Fourth Proportional to 12,443.36, 17,170.08 and 7,138.40

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Solution

The fourth proportional to 12,443.36, 17,170.08 and 7,138.40 is: 9,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443.36 : 17,170.08 = 7,138.40 : x
  2. Step 2: Convert to fraction form
    12,443.36/17,170.08 = 7,138.40/x
  3. Step 3: Cross multiply
    12,443.36x = 17,170.08 × 7,138.40
  4. Step 4: Simplify right side
    12,443.36x = 122,566,899.07
  5. Step 5: Solve for x
    x = 122,566,899.07/12,443.36
  6. Step 6: Final answer
    x = 9,849.98

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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.