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Finding the Fourth Proportional to 27,064.64, 40,587.24 and 11,477

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Solution

The fourth proportional to 27,064.64, 40,587.24 and 11,477 is: 17,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,064.64 : 40,587.24 = 11,477 : x
  2. Step 2: Convert to fraction form
    27,064.64/40,587.24 = 11,477/x
  3. Step 3: Cross multiply
    27,064.64x = 40,587.24 × 11,477
  4. Step 4: Simplify right side
    27,064.64x = 465,819,753.48
  5. Step 5: Solve for x
    x = 465,819,753.48/27,064.64
  6. Step 6: Final answer
    x = 17,211.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.