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Finding the Fourth Proportional to 24,732, 34,129.80 and 14,121

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Solution

The fourth proportional to 24,732, 34,129.80 and 14,121 is: 19,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,732 : 34,129.80 = 14,121 : x
  2. Step 2: Convert to fraction form
    24,732/34,129.80 = 14,121/x
  3. Step 3: Cross multiply
    24,732x = 34,129.80 × 14,121
  4. Step 4: Simplify right side
    24,732x = 481,946,905.80
  5. Step 5: Solve for x
    x = 481,946,905.80/24,732
  6. Step 6: Final answer
    x = 19,486.77

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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.