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Finding the Fourth Proportional to 12,598.08, 17,383.20 and 7,008

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Solution

The fourth proportional to 12,598.08, 17,383.20 and 7,008 is: 9,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.08 : 17,383.20 = 7,008 : x
  2. Step 2: Convert to fraction form
    12,598.08/17,383.20 = 7,008/x
  3. Step 3: Cross multiply
    12,598.08x = 17,383.20 × 7,008
  4. Step 4: Simplify right side
    12,598.08x = 121,821,465.60
  5. Step 5: Solve for x
    x = 121,821,465.60/12,598.08
  6. Step 6: Final answer
    x = 9,669.84

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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.