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Finding the Fourth Proportional to 15,465, 23,166.78 and 7,649.96

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Solution

The fourth proportional to 15,465, 23,166.78 and 7,649.96 is: 11,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465 : 23,166.78 = 7,649.96 : x
  2. Step 2: Convert to fraction form
    15,465/23,166.78 = 7,649.96/x
  3. Step 3: Cross multiply
    15,465x = 23,166.78 × 7,649.96
  4. Step 4: Simplify right side
    15,465x = 177,224,940.33
  5. Step 5: Solve for x
    x = 177,224,940.33/15,465
  6. Step 6: Final answer
    x = 11,459.74

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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.