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Finding the Fourth Proportional to 17,833.68, 24,615.93 and 10,285.04

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Solution

The fourth proportional to 17,833.68, 24,615.93 and 10,285.04 is: 14,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.68 : 24,615.93 = 10,285.04 : x
  2. Step 2: Convert to fraction form
    17,833.68/24,615.93 = 10,285.04/x
  3. Step 3: Cross multiply
    17,833.68x = 24,615.93 × 10,285.04
  4. Step 4: Simplify right side
    17,833.68x = 253,175,924.80
  5. Step 5: Solve for x
    x = 253,175,924.80/17,833.68
  6. Step 6: Final answer
    x = 14,196.50

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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.