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Finding the Fourth Proportional to 26,503.88, 39,730.64 and 9,852.57

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Solution

The fourth proportional to 26,503.88, 39,730.64 and 9,852.57 is: 14,769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,503.88 : 39,730.64 = 9,852.57 : x
  2. Step 2: Convert to fraction form
    26,503.88/39,730.64 = 9,852.57/x
  3. Step 3: Cross multiply
    26,503.88x = 39,730.64 × 9,852.57
  4. Step 4: Simplify right side
    26,503.88x = 391,448,862.48
  5. Step 5: Solve for x
    x = 391,448,862.48/26,503.88
  6. Step 6: Final answer
    x = 14,769.50

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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.