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Finding the Fourth Proportional to 12,513.48, 17,271 and 8,938.14

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Solution

The fourth proportional to 12,513.48, 17,271 and 8,938.14 is: 12,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.48 : 17,271 = 8,938.14 : x
  2. Step 2: Convert to fraction form
    12,513.48/17,271 = 8,938.14/x
  3. Step 3: Cross multiply
    12,513.48x = 17,271 × 8,938.14
  4. Step 4: Simplify right side
    12,513.48x = 154,370,615.94
  5. Step 5: Solve for x
    x = 154,370,615.94/12,513.48
  6. Step 6: Final answer
    x = 12,336.35

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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.