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Finding the Fourth Proportional to 15,300, 21,114 and 9,016.20

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Solution

The fourth proportional to 15,300, 21,114 and 9,016.20 is: 12,442.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,300 : 21,114 = 9,016.20 : x
  2. Step 2: Convert to fraction form
    15,300/21,114 = 9,016.20/x
  3. Step 3: Cross multiply
    15,300x = 21,114 × 9,016.20
  4. Step 4: Simplify right side
    15,300x = 190,368,046.80
  5. Step 5: Solve for x
    x = 190,368,046.80/15,300
  6. Step 6: Final answer
    x = 12,442.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.