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Finding the Fourth Proportional to 12,967.36, 17,894.52 and 7,662.07

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Solution

The fourth proportional to 12,967.36, 17,894.52 and 7,662.07 is: 10,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.36 : 17,894.52 = 7,662.07 : x
  2. Step 2: Convert to fraction form
    12,967.36/17,894.52 = 7,662.07/x
  3. Step 3: Cross multiply
    12,967.36x = 17,894.52 × 7,662.07
  4. Step 4: Simplify right side
    12,967.36x = 137,109,064.86
  5. Step 5: Solve for x
    x = 137,109,064.86/12,967.36
  6. Step 6: Final answer
    x = 10,573.40

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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.