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Finding the Fourth Proportional to 15,012, 22,521.36 and 6,804

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Solution

The fourth proportional to 15,012, 22,521.36 and 6,804 is: 10,207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,012 : 22,521.36 = 6,804 : x
  2. Step 2: Convert to fraction form
    15,012/22,521.36 = 6,804/x
  3. Step 3: Cross multiply
    15,012x = 22,521.36 × 6,804
  4. Step 4: Simplify right side
    15,012x = 153,235,333.44
  5. Step 5: Solve for x
    x = 153,235,333.44/15,012
  6. Step 6: Final answer
    x = 10,207.52

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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.