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Finding the Fourth Proportional to 16,130, 24,195 and 5,186

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Solution

The fourth proportional to 16,130, 24,195 and 5,186 is: 7,779

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130 : 24,195 = 5,186 : x
  2. Step 2: Convert to fraction form
    16,130/24,195 = 5,186/x
  3. Step 3: Cross multiply
    16,130x = 24,195 × 5,186
  4. Step 4: Simplify right side
    16,130x = 125,475,270
  5. Step 5: Solve for x
    x = 125,475,270/16,130
  6. Step 6: Final answer
    x = 7,779

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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.