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Finding the Fourth Proportional to 17,852.08, 24,634.98 and 9,894.24

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Solution

The fourth proportional to 17,852.08, 24,634.98 and 9,894.24 is: 13,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.08 : 24,634.98 = 9,894.24 : x
  2. Step 2: Convert to fraction form
    17,852.08/24,634.98 = 9,894.24/x
  3. Step 3: Cross multiply
    17,852.08x = 24,634.98 × 9,894.24
  4. Step 4: Simplify right side
    17,852.08x = 243,744,281.34
  5. Step 5: Solve for x
    x = 243,744,281.34/17,852.08
  6. Step 6: Final answer
    x = 13,653.55

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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.