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Finding the Fourth Proportional to 12,320.10, 17,008.11 and 8,549.82

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Solution

The fourth proportional to 12,320.10, 17,008.11 and 8,549.82 is: 11,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,320.10 : 17,008.11 = 8,549.82 : x
  2. Step 2: Convert to fraction form
    12,320.10/17,008.11 = 8,549.82/x
  3. Step 3: Cross multiply
    12,320.10x = 17,008.11 × 8,549.82
  4. Step 4: Simplify right side
    12,320.10x = 145,416,279.04
  5. Step 5: Solve for x
    x = 145,416,279.04/12,320.10
  6. Step 6: Final answer
    x = 11,803.17

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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.