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Finding the Fourth Proportional to 15,444, 23,166.20 and 5,055.75

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Solution

The fourth proportional to 15,444, 23,166.20 and 5,055.75 is: 7,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,444 : 23,166.20 = 5,055.75 : x
  2. Step 2: Convert to fraction form
    15,444/23,166.20 = 5,055.75/x
  3. Step 3: Cross multiply
    15,444x = 23,166.20 × 5,055.75
  4. Step 4: Simplify right side
    15,444x = 117,122,528.29
  5. Step 5: Solve for x
    x = 117,122,528.29/15,444
  6. Step 6: Final answer
    x = 7,583.69

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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.