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Finding the Fourth Proportional to 12,461.47, 17,196.18 and 7,083.20

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Solution

The fourth proportional to 12,461.47, 17,196.18 and 7,083.20 is: 9,774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.47 : 17,196.18 = 7,083.20 : x
  2. Step 2: Convert to fraction form
    12,461.47/17,196.18 = 7,083.20/x
  3. Step 3: Cross multiply
    12,461.47x = 17,196.18 × 7,083.20
  4. Step 4: Simplify right side
    12,461.47x = 121,803,982.18
  5. Step 5: Solve for x
    x = 121,803,982.18/12,461.47
  6. Step 6: Final answer
    x = 9,774.45

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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.