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Finding the Fourth Proportional to 12,800.66, 17,670.84 and 9,026.90

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Solution

The fourth proportional to 12,800.66, 17,670.84 and 9,026.90 is: 12,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,800.66 : 17,670.84 = 9,026.90 : x
  2. Step 2: Convert to fraction form
    12,800.66/17,670.84 = 9,026.90/x
  3. Step 3: Cross multiply
    12,800.66x = 17,670.84 × 9,026.90
  4. Step 4: Simplify right side
    12,800.66x = 159,512,905.60
  5. Step 5: Solve for x
    x = 159,512,905.60/12,800.66
  6. Step 6: Final answer
    x = 12,461.30

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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.