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Finding the Fourth Proportional to 12,388.10, 17,109.76 and 8,158.06

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Solution

The fourth proportional to 12,388.10, 17,109.76 and 8,158.06 is: 11,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,388.10 : 17,109.76 = 8,158.06 : x
  2. Step 2: Convert to fraction form
    12,388.10/17,109.76 = 8,158.06/x
  3. Step 3: Cross multiply
    12,388.10x = 17,109.76 × 8,158.06
  4. Step 4: Simplify right side
    12,388.10x = 139,582,448.67
  5. Step 5: Solve for x
    x = 139,582,448.67/12,388.10
  6. Step 6: Final answer
    x = 11,267.46

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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.