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Finding the Fourth Proportional to 26,509.34, 36,567.62 and 15,892.80

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Solution

The fourth proportional to 26,509.34, 36,567.62 and 15,892.80 is: 21,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.34 : 36,567.62 = 15,892.80 : x
  2. Step 2: Convert to fraction form
    26,509.34/36,567.62 = 15,892.80/x
  3. Step 3: Cross multiply
    26,509.34x = 36,567.62 × 15,892.80
  4. Step 4: Simplify right side
    26,509.34x = 581,161,871.14
  5. Step 5: Solve for x
    x = 581,161,871.14/26,509.34
  6. Step 6: Final answer
    x = 21,922.91

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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.