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Finding the Fourth Proportional to 25,308.86, 34,938 and 14,696.44

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Solution

The fourth proportional to 25,308.86, 34,938 and 14,696.44 is: 20,287.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,308.86 : 34,938 = 14,696.44 : x
  2. Step 2: Convert to fraction form
    25,308.86/34,938 = 14,696.44/x
  3. Step 3: Cross multiply
    25,308.86x = 34,938 × 14,696.44
  4. Step 4: Simplify right side
    25,308.86x = 513,464,133.38
  5. Step 5: Solve for x
    x = 513,464,133.38/25,308.86
  6. Step 6: Final answer
    x = 20,287.92

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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.