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Finding the Fourth Proportional to 15,401.76, 21,256.44 and 8,689.50

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Solution

The fourth proportional to 15,401.76, 21,256.44 and 8,689.50 is: 11,992.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,401.76 : 21,256.44 = 8,689.50 : x
  2. Step 2: Convert to fraction form
    15,401.76/21,256.44 = 8,689.50/x
  3. Step 3: Cross multiply
    15,401.76x = 21,256.44 × 8,689.50
  4. Step 4: Simplify right side
    15,401.76x = 184,707,835.38
  5. Step 5: Solve for x
    x = 184,707,835.38/15,401.76
  6. Step 6: Final answer
    x = 11,992.64

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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.