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Finding the Fourth Proportional to 17,852.39, 24,636.50 and 9,894.74

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Solution

The fourth proportional to 17,852.39, 24,636.50 and 9,894.74 is: 13,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.39 : 24,636.50 = 9,894.74 : x
  2. Step 2: Convert to fraction form
    17,852.39/24,636.50 = 9,894.74/x
  3. Step 3: Cross multiply
    17,852.39x = 24,636.50 × 9,894.74
  4. Step 4: Simplify right side
    17,852.39x = 243,771,589.35
  5. Step 5: Solve for x
    x = 243,771,589.35/17,852.39
  6. Step 6: Final answer
    x = 13,654.85

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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.