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Finding the Fourth Proportional to 12,433.60, 17,158.80 and 7,128.64

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Solution

The fourth proportional to 12,433.60, 17,158.80 and 7,128.64 is: 9,837.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433.60 : 17,158.80 = 7,128.64 : x
  2. Step 2: Convert to fraction form
    12,433.60/17,158.80 = 7,128.64/x
  3. Step 3: Cross multiply
    12,433.60x = 17,158.80 × 7,128.64
  4. Step 4: Simplify right side
    12,433.60x = 122,318,908.03
  5. Step 5: Solve for x
    x = 122,318,908.03/12,433.60
  6. Step 6: Final answer
    x = 9,837.77

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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.