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Finding the Fourth Proportional to 25,980, 35,864.38 and 15,223.38

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Solution

The fourth proportional to 25,980, 35,864.38 and 15,223.38 is: 21,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980 : 35,864.38 = 15,223.38 : x
  2. Step 2: Convert to fraction form
    25,980/35,864.38 = 15,223.38/x
  3. Step 3: Cross multiply
    25,980x = 35,864.38 × 15,223.38
  4. Step 4: Simplify right side
    25,980x = 545,977,085.20
  5. Step 5: Solve for x
    x = 545,977,085.20/25,980
  6. Step 6: Final answer
    x = 21,015.28

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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.