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Finding the Fourth Proportional to 13,281.30, 19,923.39 and 4,965.30

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Solution

The fourth proportional to 13,281.30, 19,923.39 and 4,965.30 is: 7,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,281.30 : 19,923.39 = 4,965.30 : x
  2. Step 2: Convert to fraction form
    13,281.30/19,923.39 = 4,965.30/x
  3. Step 3: Cross multiply
    13,281.30x = 19,923.39 × 4,965.30
  4. Step 4: Simplify right side
    13,281.30x = 98,925,608.37
  5. Step 5: Solve for x
    x = 98,925,608.37/13,281.30
  6. Step 6: Final answer
    x = 7,448.49

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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.