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Finding the Fourth Proportional to 25,534.98, 35,223.86 and 15,323.38

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Solution

The fourth proportional to 25,534.98, 35,223.86 and 15,323.38 is: 21,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.98 : 35,223.86 = 15,323.38 : x
  2. Step 2: Convert to fraction form
    25,534.98/35,223.86 = 15,323.38/x
  3. Step 3: Cross multiply
    25,534.98x = 35,223.86 × 15,323.38
  4. Step 4: Simplify right side
    25,534.98x = 539,748,591.85
  5. Step 5: Solve for x
    x = 539,748,591.85/25,534.98
  6. Step 6: Final answer
    x = 21,137.62

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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.