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Finding the Fourth Proportional to 24,920, 34,389.60 and 14,984

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Solution

The fourth proportional to 24,920, 34,389.60 and 14,984 is: 20,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,920 : 34,389.60 = 14,984 : x
  2. Step 2: Convert to fraction form
    24,920/34,389.60 = 14,984/x
  3. Step 3: Cross multiply
    24,920x = 34,389.60 × 14,984
  4. Step 4: Simplify right side
    24,920x = 515,293,766.40
  5. Step 5: Solve for x
    x = 515,293,766.40/24,920
  6. Step 6: Final answer
    x = 20,677.92

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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.