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Finding the Fourth Proportional to 26,300, 36,284.65 and 15,542.59

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Solution

The fourth proportional to 26,300, 36,284.65 and 15,542.59 is: 21,443.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,300 : 36,284.65 = 15,542.59 : x
  2. Step 2: Convert to fraction form
    26,300/36,284.65 = 15,542.59/x
  3. Step 3: Cross multiply
    26,300x = 36,284.65 × 15,542.59
  4. Step 4: Simplify right side
    26,300x = 563,957,438.24
  5. Step 5: Solve for x
    x = 563,957,438.24/26,300
  6. Step 6: Final answer
    x = 21,443.25

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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.