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Finding the Fourth Proportional to 26,537.40, 36,621.54 and 15,927

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Solution

The fourth proportional to 26,537.40, 36,621.54 and 15,927 is: 21,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,537.40 : 36,621.54 = 15,927 : x
  2. Step 2: Convert to fraction form
    26,537.40/36,621.54 = 15,927/x
  3. Step 3: Cross multiply
    26,537.40x = 36,621.54 × 15,927
  4. Step 4: Simplify right side
    26,537.40x = 583,271,267.58
  5. Step 5: Solve for x
    x = 583,271,267.58/26,537.40
  6. Step 6: Final answer
    x = 21,979.22

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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.