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Finding the Fourth Proportional to 25,841.34, 35,658.90 and 14,509.26

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Solution

The fourth proportional to 25,841.34, 35,658.90 and 14,509.26 is: 20,021.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,841.34 : 35,658.90 = 14,509.26 : x
  2. Step 2: Convert to fraction form
    25,841.34/35,658.90 = 14,509.26/x
  3. Step 3: Cross multiply
    25,841.34x = 35,658.90 × 14,509.26
  4. Step 4: Simplify right side
    25,841.34x = 517,384,251.41
  5. Step 5: Solve for x
    x = 517,384,251.41/25,841.34
  6. Step 6: Final answer
    x = 20,021.57

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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.