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Finding the Fourth Proportional to 16,104, 24,155.50 and 4,417.12

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Solution

The fourth proportional to 16,104, 24,155.50 and 4,417.12 is: 6,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104 : 24,155.50 = 4,417.12 : x
  2. Step 2: Convert to fraction form
    16,104/24,155.50 = 4,417.12/x
  3. Step 3: Cross multiply
    16,104x = 24,155.50 × 4,417.12
  4. Step 4: Simplify right side
    16,104x = 106,697,742.16
  5. Step 5: Solve for x
    x = 106,697,742.16/16,104
  6. Step 6: Final answer
    x = 6,625.54

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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.