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Finding the Fourth Proportional to 12,804.62, 19,214.21 and 10,223.96

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Solution

The fourth proportional to 12,804.62, 19,214.21 and 10,223.96 is: 15,341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.62 : 19,214.21 = 10,223.96 : x
  2. Step 2: Convert to fraction form
    12,804.62/19,214.21 = 10,223.96/x
  3. Step 3: Cross multiply
    12,804.62x = 19,214.21 × 10,223.96
  4. Step 4: Simplify right side
    12,804.62x = 196,445,243.96
  5. Step 5: Solve for x
    x = 196,445,243.96/12,804.62
  6. Step 6: Final answer
    x = 15,341.75

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1.5x scale

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.