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Finding the Fourth Proportional to 19,343.94, 28,977.03 and 10,090.50

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Solution

The fourth proportional to 19,343.94, 28,977.03 and 10,090.50 is: 15,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343.94 : 28,977.03 = 10,090.50 : x
  2. Step 2: Convert to fraction form
    19,343.94/28,977.03 = 10,090.50/x
  3. Step 3: Cross multiply
    19,343.94x = 28,977.03 × 10,090.50
  4. Step 4: Simplify right side
    19,343.94x = 292,392,721.22
  5. Step 5: Solve for x
    x = 292,392,721.22/19,343.94
  6. Step 6: Final answer
    x = 15,115.47

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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.