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Finding the Fourth Proportional to 16,870.20, 23,259.18 and 13,834.18

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Solution

The fourth proportional to 16,870.20, 23,259.18 and 13,834.18 is: 19,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,870.20 : 23,259.18 = 13,834.18 : x
  2. Step 2: Convert to fraction form
    16,870.20/23,259.18 = 13,834.18/x
  3. Step 3: Cross multiply
    16,870.20x = 23,259.18 × 13,834.18
  4. Step 4: Simplify right side
    16,870.20x = 321,771,682.77
  5. Step 5: Solve for x
    x = 321,771,682.77/16,870.20
  6. Step 6: Final answer
    x = 19,073.38

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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.