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Finding the Fourth Proportional to 12,467.16, 18,676.68 and 9,820.68

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Solution

The fourth proportional to 12,467.16, 18,676.68 and 9,820.68 is: 14,712.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.16 : 18,676.68 = 9,820.68 : x
  2. Step 2: Convert to fraction form
    12,467.16/18,676.68 = 9,820.68/x
  3. Step 3: Cross multiply
    12,467.16x = 18,676.68 × 9,820.68
  4. Step 4: Simplify right side
    12,467.16x = 183,417,697.74
  5. Step 5: Solve for x
    x = 183,417,697.74/12,467.16
  6. Step 6: Final answer
    x = 14,712.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.