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Finding the Fourth Proportional to 26,462.88, 39,713.76 and 13,302

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Solution

The fourth proportional to 26,462.88, 39,713.76 and 13,302 is: 19,962.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,462.88 : 39,713.76 = 13,302 : x
  2. Step 2: Convert to fraction form
    26,462.88/39,713.76 = 13,302/x
  3. Step 3: Cross multiply
    26,462.88x = 39,713.76 × 13,302
  4. Step 4: Simplify right side
    26,462.88x = 528,272,435.52
  5. Step 5: Solve for x
    x = 528,272,435.52/26,462.88
  6. Step 6: Final answer
    x = 19,962.77

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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.