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Finding the Fourth Proportional to 19,344.75, 26,695.76 and 10,512.75

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Solution

The fourth proportional to 19,344.75, 26,695.76 and 10,512.75 is: 14,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,344.75 : 26,695.76 = 10,512.75 : x
  2. Step 2: Convert to fraction form
    19,344.75/26,695.76 = 10,512.75/x
  3. Step 3: Cross multiply
    19,344.75x = 26,695.76 × 10,512.75
  4. Step 4: Simplify right side
    19,344.75x = 280,645,798.38
  5. Step 5: Solve for x
    x = 280,645,798.38/19,344.75
  6. Step 6: Final answer
    x = 14,507.60

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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.