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Finding the Fourth Proportional to 17,833.96, 24,602.70 and 11,548.36

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Solution

The fourth proportional to 17,833.96, 24,602.70 and 11,548.36 is: 15,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.96 : 24,602.70 = 11,548.36 : x
  2. Step 2: Convert to fraction form
    17,833.96/24,602.70 = 11,548.36/x
  3. Step 3: Cross multiply
    17,833.96x = 24,602.70 × 11,548.36
  4. Step 4: Simplify right side
    17,833.96x = 284,120,836.57
  5. Step 5: Solve for x
    x = 284,120,836.57/17,833.96
  6. Step 6: Final answer
    x = 15,931.45

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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.