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Finding the Fourth Proportional to 13,223.94, 19,833.74 and 4,902

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Solution

The fourth proportional to 13,223.94, 19,833.74 and 4,902 is: 7,352.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.94 : 19,833.74 = 4,902 : x
  2. Step 2: Convert to fraction form
    13,223.94/19,833.74 = 4,902/x
  3. Step 3: Cross multiply
    13,223.94x = 19,833.74 × 4,902
  4. Step 4: Simplify right side
    13,223.94x = 97,224,993.48
  5. Step 5: Solve for x
    x = 97,224,993.48/13,223.94
  6. Step 6: Final answer
    x = 7,352.20

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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.