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Finding the Fourth Proportional to 12,461.34, 17,196.21 and 7,083.30

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Solution

The fourth proportional to 12,461.34, 17,196.21 and 7,083.30 is: 9,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.34 : 17,196.21 = 7,083.30 : x
  2. Step 2: Convert to fraction form
    12,461.34/17,196.21 = 7,083.30/x
  3. Step 3: Cross multiply
    12,461.34x = 17,196.21 × 7,083.30
  4. Step 4: Simplify right side
    12,461.34x = 121,805,914.29
  5. Step 5: Solve for x
    x = 121,805,914.29/12,461.34
  6. Step 6: Final answer
    x = 9,774.70

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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.