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Finding the Fourth Proportional to 19,142.44, 28,713.62 and 10,432.68

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Solution

The fourth proportional to 19,142.44, 28,713.62 and 10,432.68 is: 15,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,142.44 : 28,713.62 = 10,432.68 : x
  2. Step 2: Convert to fraction form
    19,142.44/28,713.62 = 10,432.68/x
  3. Step 3: Cross multiply
    19,142.44x = 28,713.62 × 10,432.68
  4. Step 4: Simplify right side
    19,142.44x = 299,560,009.10
  5. Step 5: Solve for x
    x = 299,560,009.10/19,142.44
  6. Step 6: Final answer
    x = 15,649.00

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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.