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Finding the Fourth Proportional to 16,140, 24,210 and 5,196

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Solution

The fourth proportional to 16,140, 24,210 and 5,196 is: 7,794

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140 : 24,210 = 5,196 : x
  2. Step 2: Convert to fraction form
    16,140/24,210 = 5,196/x
  3. Step 3: Cross multiply
    16,140x = 24,210 × 5,196
  4. Step 4: Simplify right side
    16,140x = 125,795,160
  5. Step 5: Solve for x
    x = 125,795,160/16,140
  6. Step 6: Final answer
    x = 7,794

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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.