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Finding the Fourth Proportional to 12,670.40, 17,466.72 and 8,471.36

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Solution

The fourth proportional to 12,670.40, 17,466.72 and 8,471.36 is: 11,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.40 : 17,466.72 = 8,471.36 : x
  2. Step 2: Convert to fraction form
    12,670.40/17,466.72 = 8,471.36/x
  3. Step 3: Cross multiply
    12,670.40x = 17,466.72 × 8,471.36
  4. Step 4: Simplify right side
    12,670.40x = 147,966,873.14
  5. Step 5: Solve for x
    x = 147,966,873.14/12,670.40
  6. Step 6: Final answer
    x = 11,678.15

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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.