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Finding the Fourth Proportional to 12,670.12, 17,458.50 and 10,775.08

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Solution

The fourth proportional to 12,670.12, 17,458.50 and 10,775.08 is: 14,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.12 : 17,458.50 = 10,775.08 : x
  2. Step 2: Convert to fraction form
    12,670.12/17,458.50 = 10,775.08/x
  3. Step 3: Cross multiply
    12,670.12x = 17,458.50 × 10,775.08
  4. Step 4: Simplify right side
    12,670.12x = 188,116,734.18
  5. Step 5: Solve for x
    x = 188,116,734.18/12,670.12
  6. Step 6: Final answer
    x = 14,847.27

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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.