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Finding the Fourth Proportional to 12,424, 18,624.66 and 11,341.84

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Solution

The fourth proportional to 12,424, 18,624.66 and 11,341.84 is: 17,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424 : 18,624.66 = 11,341.84 : x
  2. Step 2: Convert to fraction form
    12,424/18,624.66 = 11,341.84/x
  3. Step 3: Cross multiply
    12,424x = 18,624.66 × 11,341.84
  4. Step 4: Simplify right side
    12,424x = 211,237,913.77
  5. Step 5: Solve for x
    x = 211,237,913.77/12,424
  6. Step 6: Final answer
    x = 17,002.41

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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.