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Finding the Fourth Proportional to 12,433.70, 17,158.33 and 7,128.20

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Solution

The fourth proportional to 12,433.70, 17,158.33 and 7,128.20 is: 9,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.70 : 17,158.33 = 7,128.20 : x
  2. Step 2: Convert to fraction form
    12,433.70/17,158.33 = 7,128.20/x
  3. Step 3: Cross multiply
    12,433.70x = 17,158.33 × 7,128.20
  4. Step 4: Simplify right side
    12,433.70x = 122,308,059.71
  5. Step 5: Solve for x
    x = 122,308,059.71/12,433.70
  6. Step 6: Final answer
    x = 9,836.82

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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.