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Finding the Fourth Proportional to 17,833.65, 24,611.20 and 9,875.86

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Solution

The fourth proportional to 17,833.65, 24,611.20 and 9,875.86 is: 13,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.65 : 24,611.20 = 9,875.86 : x
  2. Step 2: Convert to fraction form
    17,833.65/24,611.20 = 9,875.86/x
  3. Step 3: Cross multiply
    17,833.65x = 24,611.20 × 9,875.86
  4. Step 4: Simplify right side
    17,833.65x = 243,056,765.63
  5. Step 5: Solve for x
    x = 243,056,765.63/17,833.65
  6. Step 6: Final answer
    x = 13,629.11

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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.