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Finding the Fourth Proportional to 12,689.84, 17,511.88 and 7,100.80

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Solution

The fourth proportional to 12,689.84, 17,511.88 and 7,100.80 is: 9,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,689.84 : 17,511.88 = 7,100.80 : x
  2. Step 2: Convert to fraction form
    12,689.84/17,511.88 = 7,100.80/x
  3. Step 3: Cross multiply
    12,689.84x = 17,511.88 × 7,100.80
  4. Step 4: Simplify right side
    12,689.84x = 124,348,357.50
  5. Step 5: Solve for x
    x = 124,348,357.50/12,689.84
  6. Step 6: Final answer
    x = 9,799.05

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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.