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Finding the Fourth Proportional to 25,407.52, 35,025.80 and 17,830.38

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Solution

The fourth proportional to 25,407.52, 35,025.80 and 17,830.38 is: 24,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407.52 : 35,025.80 = 17,830.38 : x
  2. Step 2: Convert to fraction form
    25,407.52/35,025.80 = 17,830.38/x
  3. Step 3: Cross multiply
    25,407.52x = 35,025.80 × 17,830.38
  4. Step 4: Simplify right side
    25,407.52x = 624,523,323.80
  5. Step 5: Solve for x
    x = 624,523,323.80/25,407.52
  6. Step 6: Final answer
    x = 24,580.26

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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.