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Finding the Fourth Proportional to 17,571.64, 24,248.94 and 9,614

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Solution

The fourth proportional to 17,571.64, 24,248.94 and 9,614 is: 13,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,571.64 : 24,248.94 = 9,614 : x
  2. Step 2: Convert to fraction form
    17,571.64/24,248.94 = 9,614/x
  3. Step 3: Cross multiply
    17,571.64x = 24,248.94 × 9,614
  4. Step 4: Simplify right side
    17,571.64x = 233,129,309.16
  5. Step 5: Solve for x
    x = 233,129,309.16/17,571.64
  6. Step 6: Final answer
    x = 13,267.36

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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.