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Finding the Fourth Proportional to 23,210.82, 34,782.21 and 14,419.08

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Solution

The fourth proportional to 23,210.82, 34,782.21 and 14,419.08 is: 21,607.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,210.82 : 34,782.21 = 14,419.08 : x
  2. Step 2: Convert to fraction form
    23,210.82/34,782.21 = 14,419.08/x
  3. Step 3: Cross multiply
    23,210.82x = 34,782.21 × 14,419.08
  4. Step 4: Simplify right side
    23,210.82x = 501,527,468.57
  5. Step 5: Solve for x
    x = 501,527,468.57/23,210.82
  6. Step 6: Final answer
    x = 21,607.49

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Why These Related Problems?

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