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Finding the Fourth Proportional to 15,074, 20,802.12 and 9,186

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Solution

The fourth proportional to 15,074, 20,802.12 and 9,186 is: 12,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074 : 20,802.12 = 9,186 : x
  2. Step 2: Convert to fraction form
    15,074/20,802.12 = 9,186/x
  3. Step 3: Cross multiply
    15,074x = 20,802.12 × 9,186
  4. Step 4: Simplify right side
    15,074x = 191,088,274.32
  5. Step 5: Solve for x
    x = 191,088,274.32/15,074
  6. Step 6: Final answer
    x = 12,676.68

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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.