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Finding the Fourth Proportional to 16,657, 24,985.74 and 4,345

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Solution

The fourth proportional to 16,657, 24,985.74 and 4,345 is: 6,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,657 : 24,985.74 = 4,345 : x
  2. Step 2: Convert to fraction form
    16,657/24,985.74 = 4,345/x
  3. Step 3: Cross multiply
    16,657x = 24,985.74 × 4,345
  4. Step 4: Simplify right side
    16,657x = 108,563,040.30
  5. Step 5: Solve for x
    x = 108,563,040.30/16,657
  6. Step 6: Final answer
    x = 6,517.56

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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.