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Finding the Fourth Proportional to 24,978, 34,469.76 and 14,368.26

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Solution

The fourth proportional to 24,978, 34,469.76 and 14,368.26 is: 19,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978 : 34,469.76 = 14,368.26 : x
  2. Step 2: Convert to fraction form
    24,978/34,469.76 = 14,368.26/x
  3. Step 3: Cross multiply
    24,978x = 34,469.76 × 14,368.26
  4. Step 4: Simplify right side
    24,978x = 495,270,473.82
  5. Step 5: Solve for x
    x = 495,270,473.82/24,978
  6. Step 6: Final answer
    x = 19,828.27

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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.