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Finding the Fourth Proportional to 17,304.96, 25,958.40 and 4,825

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Solution

The fourth proportional to 17,304.96, 25,958.40 and 4,825 is: 7,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,304.96 : 25,958.40 = 4,825 : x
  2. Step 2: Convert to fraction form
    17,304.96/25,958.40 = 4,825/x
  3. Step 3: Cross multiply
    17,304.96x = 25,958.40 × 4,825
  4. Step 4: Simplify right side
    17,304.96x = 125,249,280
  5. Step 5: Solve for x
    x = 125,249,280/17,304.96
  6. Step 6: Final answer
    x = 7,237.77

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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.