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Finding the Fourth Proportional to 13,220, 19,830 and 5,012

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Solution

The fourth proportional to 13,220, 19,830 and 5,012 is: 7,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220 : 19,830 = 5,012 : x
  2. Step 2: Convert to fraction form
    13,220/19,830 = 5,012/x
  3. Step 3: Cross multiply
    13,220x = 19,830 × 5,012
  4. Step 4: Simplify right side
    13,220x = 99,387,960
  5. Step 5: Solve for x
    x = 99,387,960/13,220
  6. Step 6: Final answer
    x = 7,518

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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.