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Finding the Fourth Proportional to 16,741, 25,111.50 and 4,429

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Solution

The fourth proportional to 16,741, 25,111.50 and 4,429 is: 6,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,741 : 25,111.50 = 4,429 : x
  2. Step 2: Convert to fraction form
    16,741/25,111.50 = 4,429/x
  3. Step 3: Cross multiply
    16,741x = 25,111.50 × 4,429
  4. Step 4: Simplify right side
    16,741x = 111,218,833.50
  5. Step 5: Solve for x
    x = 111,218,833.50/16,741
  6. Step 6: Final answer
    x = 6,643.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.