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Finding the Fourth Proportional to 25,824, 35,632.64 and 15,212.80

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Solution

The fourth proportional to 25,824, 35,632.64 and 15,212.80 is: 20,991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,824 : 35,632.64 = 15,212.80 : x
  2. Step 2: Convert to fraction form
    25,824/35,632.64 = 15,212.80/x
  3. Step 3: Cross multiply
    25,824x = 35,632.64 × 15,212.80
  4. Step 4: Simplify right side
    25,824x = 542,072,225.79
  5. Step 5: Solve for x
    x = 542,072,225.79/25,824
  6. Step 6: Final answer
    x = 20,991.02

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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.