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Finding the Fourth Proportional to 17,684.39, 24,404.49 and 9,726.45

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Solution

The fourth proportional to 17,684.39, 24,404.49 and 9,726.45 is: 13,422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.39 : 24,404.49 = 9,726.45 : x
  2. Step 2: Convert to fraction form
    17,684.39/24,404.49 = 9,726.45/x
  3. Step 3: Cross multiply
    17,684.39x = 24,404.49 × 9,726.45
  4. Step 4: Simplify right side
    17,684.39x = 237,369,051.76
  5. Step 5: Solve for x
    x = 237,369,051.76/17,684.39
  6. Step 6: Final answer
    x = 13,422.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.