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Finding the Fourth Proportional to 25,802.45, 35,610.68 and 15,193.07

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Solution

The fourth proportional to 25,802.45, 35,610.68 and 15,193.07 is: 20,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.45 : 35,610.68 = 15,193.07 : x
  2. Step 2: Convert to fraction form
    25,802.45/35,610.68 = 15,193.07/x
  3. Step 3: Cross multiply
    25,802.45x = 35,610.68 × 15,193.07
  4. Step 4: Simplify right side
    25,802.45x = 541,035,478.02
  5. Step 5: Solve for x
    x = 541,035,478.02/25,802.45
  6. Step 6: Final answer
    x = 20,968.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.