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Finding the Fourth Proportional to 12,967.30, 17,895.10 and 7,662.10

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Solution

The fourth proportional to 12,967.30, 17,895.10 and 7,662.10 is: 10,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.30 : 17,895.10 = 7,662.10 : x
  2. Step 2: Convert to fraction form
    12,967.30/17,895.10 = 7,662.10/x
  3. Step 3: Cross multiply
    12,967.30x = 17,895.10 × 7,662.10
  4. Step 4: Simplify right side
    12,967.30x = 137,114,109.60
  5. Step 5: Solve for x
    x = 137,114,109.60/12,967.30
  6. Step 6: Final answer
    x = 10,573.84

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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.