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Finding the Fourth Proportional to 17,634.68, 24,341.04 and 10,085.28

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Solution

The fourth proportional to 17,634.68, 24,341.04 and 10,085.28 is: 13,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.68 : 24,341.04 = 10,085.28 : x
  2. Step 2: Convert to fraction form
    17,634.68/24,341.04 = 10,085.28/x
  3. Step 3: Cross multiply
    17,634.68x = 24,341.04 × 10,085.28
  4. Step 4: Simplify right side
    17,634.68x = 245,486,203.89
  5. Step 5: Solve for x
    x = 245,486,203.89/17,634.68
  6. Step 6: Final answer
    x = 13,920.65

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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.