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Finding the Fourth Proportional to 23,669, 35,484.78 and 11,816.68

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Solution

The fourth proportional to 23,669, 35,484.78 and 11,816.68 is: 17,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,669 : 35,484.78 = 11,816.68 : x
  2. Step 2: Convert to fraction form
    23,669/35,484.78 = 11,816.68/x
  3. Step 3: Cross multiply
    23,669x = 35,484.78 × 11,816.68
  4. Step 4: Simplify right side
    23,669x = 419,312,290.13
  5. Step 5: Solve for x
    x = 419,312,290.13/23,669
  6. Step 6: Final answer
    x = 17,715.67

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Why These Related Problems?

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