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Finding the Fourth Proportional to 12,298.20, 16,971.01 and 7,264.04

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Solution

The fourth proportional to 12,298.20, 16,971.01 and 7,264.04 is: 10,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.20 : 16,971.01 = 7,264.04 : x
  2. Step 2: Convert to fraction form
    12,298.20/16,971.01 = 7,264.04/x
  3. Step 3: Cross multiply
    12,298.20x = 16,971.01 × 7,264.04
  4. Step 4: Simplify right side
    12,298.20x = 123,277,992.47
  5. Step 5: Solve for x
    x = 123,277,992.47/12,298.20
  6. Step 6: Final answer
    x = 10,024.07

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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.