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Finding the Fourth Proportional to 17,241.32, 25,862.94 and 4,929

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Solution

The fourth proportional to 17,241.32, 25,862.94 and 4,929 is: 7,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,241.32 : 25,862.94 = 4,929 : x
  2. Step 2: Convert to fraction form
    17,241.32/25,862.94 = 4,929/x
  3. Step 3: Cross multiply
    17,241.32x = 25,862.94 × 4,929
  4. Step 4: Simplify right side
    17,241.32x = 127,478,431.26
  5. Step 5: Solve for x
    x = 127,478,431.26/17,241.32
  6. Step 6: Final answer
    x = 7,393.77

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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.