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Finding the Fourth Proportional to 15,055.20, 20,780.64 and 9,750.36

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Solution

The fourth proportional to 15,055.20, 20,780.64 and 9,750.36 is: 13,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,055.20 : 20,780.64 = 9,750.36 : x
  2. Step 2: Convert to fraction form
    15,055.20/20,780.64 = 9,750.36/x
  3. Step 3: Cross multiply
    15,055.20x = 20,780.64 × 9,750.36
  4. Step 4: Simplify right side
    15,055.20x = 202,618,721.03
  5. Step 5: Solve for x
    x = 202,618,721.03/15,055.20
  6. Step 6: Final answer
    x = 13,458.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.