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Finding the Fourth Proportional to 25,993.50, 35,870 and 14,661.19

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Solution

The fourth proportional to 25,993.50, 35,870 and 14,661.19 is: 20,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,993.50 : 35,870 = 14,661.19 : x
  2. Step 2: Convert to fraction form
    25,993.50/35,870 = 14,661.19/x
  3. Step 3: Cross multiply
    25,993.50x = 35,870 × 14,661.19
  4. Step 4: Simplify right side
    25,993.50x = 525,896,885.30
  5. Step 5: Solve for x
    x = 525,896,885.30/25,993.50
  6. Step 6: Final answer
    x = 20,231.86

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Why These Related Problems?

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