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Finding the Fourth Proportional to 16,297, 24,445.50 and 3,985

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Solution

The fourth proportional to 16,297, 24,445.50 and 3,985 is: 5,977.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297 : 24,445.50 = 3,985 : x
  2. Step 2: Convert to fraction form
    16,297/24,445.50 = 3,985/x
  3. Step 3: Cross multiply
    16,297x = 24,445.50 × 3,985
  4. Step 4: Simplify right side
    16,297x = 97,415,317.50
  5. Step 5: Solve for x
    x = 97,415,317.50/16,297
  6. Step 6: Final answer
    x = 5,977.50

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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.