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Finding the Fourth Proportional to 26,202, 36,159.84 and 15,024

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Solution

The fourth proportional to 26,202, 36,159.84 and 15,024 is: 20,733.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202 : 36,159.84 = 15,024 : x
  2. Step 2: Convert to fraction form
    26,202/36,159.84 = 15,024/x
  3. Step 3: Cross multiply
    26,202x = 36,159.84 × 15,024
  4. Step 4: Simplify right side
    26,202x = 543,265,436.16
  5. Step 5: Solve for x
    x = 543,265,436.16/26,202
  6. Step 6: Final answer
    x = 20,733.74

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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.