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Finding the Fourth Proportional to 14,417, 21,625.52 and 3,473

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Solution

The fourth proportional to 14,417, 21,625.52 and 3,473 is: 5,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417 : 21,625.52 = 3,473 : x
  2. Step 2: Convert to fraction form
    14,417/21,625.52 = 3,473/x
  3. Step 3: Cross multiply
    14,417x = 21,625.52 × 3,473
  4. Step 4: Simplify right side
    14,417x = 75,105,430.96
  5. Step 5: Solve for x
    x = 75,105,430.96/14,417
  6. Step 6: Final answer
    x = 5,209.50

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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.