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Finding the Fourth Proportional to 12,438.12, 17,164.08 and 7,129.24

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Solution

The fourth proportional to 12,438.12, 17,164.08 and 7,129.24 is: 9,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.12 : 17,164.08 = 7,129.24 : x
  2. Step 2: Convert to fraction form
    12,438.12/17,164.08 = 7,129.24/x
  3. Step 3: Cross multiply
    12,438.12x = 17,164.08 × 7,129.24
  4. Step 4: Simplify right side
    12,438.12x = 122,366,845.70
  5. Step 5: Solve for x
    x = 122,366,845.70/12,438.12
  6. Step 6: Final answer
    x = 9,838.05

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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.