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Finding the Fourth Proportional to 24,608.50, 33,959.76 and 13,430.50

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Solution

The fourth proportional to 24,608.50, 33,959.76 and 13,430.50 is: 18,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,608.50 : 33,959.76 = 13,430.50 : x
  2. Step 2: Convert to fraction form
    24,608.50/33,959.76 = 13,430.50/x
  3. Step 3: Cross multiply
    24,608.50x = 33,959.76 × 13,430.50
  4. Step 4: Simplify right side
    24,608.50x = 456,096,556.68
  5. Step 5: Solve for x
    x = 456,096,556.68/24,608.50
  6. Step 6: Final answer
    x = 18,534.11

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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.