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Finding the Fourth Proportional to 17,894.22, 24,693.93 and 9,828.03

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Solution

The fourth proportional to 17,894.22, 24,693.93 and 9,828.03 is: 13,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,894.22 : 24,693.93 = 9,828.03 : x
  2. Step 2: Convert to fraction form
    17,894.22/24,693.93 = 9,828.03/x
  3. Step 3: Cross multiply
    17,894.22x = 24,693.93 × 9,828.03
  4. Step 4: Simplify right side
    17,894.22x = 242,692,684.86
  5. Step 5: Solve for x
    x = 242,692,684.86/17,894.22
  6. Step 6: Final answer
    x = 13,562.63

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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.