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Finding the Fourth Proportional to 26,182, 36,130.88 and 15,571.40

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Solution

The fourth proportional to 26,182, 36,130.88 and 15,571.40 is: 21,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,182 : 36,130.88 = 15,571.40 : x
  2. Step 2: Convert to fraction form
    26,182/36,130.88 = 15,571.40/x
  3. Step 3: Cross multiply
    26,182x = 36,130.88 × 15,571.40
  4. Step 4: Simplify right side
    26,182x = 562,608,384.83
  5. Step 5: Solve for x
    x = 562,608,384.83/26,182
  6. Step 6: Final answer
    x = 21,488.37

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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.