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Finding the Fourth Proportional to 12,431.60, 17,156.52 and 7,128.08

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Solution

The fourth proportional to 12,431.60, 17,156.52 and 7,128.08 is: 9,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.60 : 17,156.52 = 7,128.08 : x
  2. Step 2: Convert to fraction form
    12,431.60/17,156.52 = 7,128.08/x
  3. Step 3: Cross multiply
    12,431.60x = 17,156.52 × 7,128.08
  4. Step 4: Simplify right side
    12,431.60x = 122,293,047.08
  5. Step 5: Solve for x
    x = 122,293,047.08/12,431.60
  6. Step 6: Final answer
    x = 9,837.27

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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.