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Finding the Fourth Proportional to 25,666.37, 38,503.07 and 9,022.59

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Solution

The fourth proportional to 25,666.37, 38,503.07 and 9,022.59 is: 13,535.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,666.37 : 38,503.07 = 9,022.59 : x
  2. Step 2: Convert to fraction form
    25,666.37/38,503.07 = 9,022.59/x
  3. Step 3: Cross multiply
    25,666.37x = 38,503.07 × 9,022.59
  4. Step 4: Simplify right side
    25,666.37x = 347,397,369.24
  5. Step 5: Solve for x
    x = 347,397,369.24/25,666.37
  6. Step 6: Final answer
    x = 13,535.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.