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Finding the Fourth Proportional to 13,237.76, 19,851.44 and 4,802.25

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Solution

The fourth proportional to 13,237.76, 19,851.44 and 4,802.25 is: 7,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.76 : 19,851.44 = 4,802.25 : x
  2. Step 2: Convert to fraction form
    13,237.76/19,851.44 = 4,802.25/x
  3. Step 3: Cross multiply
    13,237.76x = 19,851.44 × 4,802.25
  4. Step 4: Simplify right side
    13,237.76x = 95,331,589.75
  5. Step 5: Solve for x
    x = 95,331,589.75/13,237.76
  6. Step 6: Final answer
    x = 7,201.49

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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.