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Finding the Fourth Proportional to 16,413, 24,619.50 and 4,101

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Solution

The fourth proportional to 16,413, 24,619.50 and 4,101 is: 6,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,413 : 24,619.50 = 4,101 : x
  2. Step 2: Convert to fraction form
    16,413/24,619.50 = 4,101/x
  3. Step 3: Cross multiply
    16,413x = 24,619.50 × 4,101
  4. Step 4: Simplify right side
    16,413x = 100,964,569.50
  5. Step 5: Solve for x
    x = 100,964,569.50/16,413
  6. Step 6: Final answer
    x = 6,151.50

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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.