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Finding the Fourth Proportional to 12,646.06, 17,451.62 and 6,980.70

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Solution

The fourth proportional to 12,646.06, 17,451.62 and 6,980.70 is: 9,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.06 : 17,451.62 = 6,980.70 : x
  2. Step 2: Convert to fraction form
    12,646.06/17,451.62 = 6,980.70/x
  3. Step 3: Cross multiply
    12,646.06x = 17,451.62 × 6,980.70
  4. Step 4: Simplify right side
    12,646.06x = 121,824,580.45
  5. Step 5: Solve for x
    x = 121,824,580.45/12,646.06
  6. Step 6: Final answer
    x = 9,633.40

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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.