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Finding the Fourth Proportional to 13,254, 18,293.82 and 7,668.24

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Solution

The fourth proportional to 13,254, 18,293.82 and 7,668.24 is: 10,584.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,254 : 18,293.82 = 7,668.24 : x
  2. Step 2: Convert to fraction form
    13,254/18,293.82 = 7,668.24/x
  3. Step 3: Cross multiply
    13,254x = 18,293.82 × 7,668.24
  4. Step 4: Simplify right side
    13,254x = 140,281,402.28
  5. Step 5: Solve for x
    x = 140,281,402.28/13,254
  6. Step 6: Final answer
    x = 10,584.08

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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.