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Finding the Fourth Proportional to 26,203.16, 36,156.30 and 15,023

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Solution

The fourth proportional to 26,203.16, 36,156.30 and 15,023 is: 20,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,203.16 : 36,156.30 = 15,023 : x
  2. Step 2: Convert to fraction form
    26,203.16/36,156.30 = 15,023/x
  3. Step 3: Cross multiply
    26,203.16x = 36,156.30 × 15,023
  4. Step 4: Simplify right side
    26,203.16x = 543,176,094.90
  5. Step 5: Solve for x
    x = 543,176,094.90/26,203.16
  6. Step 6: Final answer
    x = 20,729.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.