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Finding the Fourth Proportional to 17,643.86, 24,347.43 and 9,686.03

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Solution

The fourth proportional to 17,643.86, 24,347.43 and 9,686.03 is: 13,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.86 : 24,347.43 = 9,686.03 : x
  2. Step 2: Convert to fraction form
    17,643.86/24,347.43 = 9,686.03/x
  3. Step 3: Cross multiply
    17,643.86x = 24,347.43 × 9,686.03
  4. Step 4: Simplify right side
    17,643.86x = 235,829,888.97
  5. Step 5: Solve for x
    x = 235,829,888.97/17,643.86
  6. Step 6: Final answer
    x = 13,366.12

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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.