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Finding the Fourth Proportional to 15,410.34, 21,265.74 and 8,696.16

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Solution

The fourth proportional to 15,410.34, 21,265.74 and 8,696.16 is: 12,000.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410.34 : 21,265.74 = 8,696.16 : x
  2. Step 2: Convert to fraction form
    15,410.34/21,265.74 = 8,696.16/x
  3. Step 3: Cross multiply
    15,410.34x = 21,265.74 × 8,696.16
  4. Step 4: Simplify right side
    15,410.34x = 184,930,277.56
  5. Step 5: Solve for x
    x = 184,930,277.56/15,410.34
  6. Step 6: Final answer
    x = 12,000.40

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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.