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Finding the Fourth Proportional to 13,243.34, 18,275.88 and 7,274.86

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Solution

The fourth proportional to 13,243.34, 18,275.88 and 7,274.86 is: 10,039.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.34 : 18,275.88 = 7,274.86 : x
  2. Step 2: Convert to fraction form
    13,243.34/18,275.88 = 7,274.86/x
  3. Step 3: Cross multiply
    13,243.34x = 18,275.88 × 7,274.86
  4. Step 4: Simplify right side
    13,243.34x = 132,954,468.38
  5. Step 5: Solve for x
    x = 132,954,468.38/13,243.34
  6. Step 6: Final answer
    x = 10,039.35

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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.