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Finding the Fourth Proportional to 11,904.30, 17,823.65 and 6,032.21

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Solution

The fourth proportional to 11,904.30, 17,823.65 and 6,032.21 is: 9,031.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.30 : 17,823.65 = 6,032.21 : x
  2. Step 2: Convert to fraction form
    11,904.30/17,823.65 = 6,032.21/x
  3. Step 3: Cross multiply
    11,904.30x = 17,823.65 × 6,032.21
  4. Step 4: Simplify right side
    11,904.30x = 107,515,880.49
  5. Step 5: Solve for x
    x = 107,515,880.49/11,904.30
  6. Step 6: Final answer
    x = 9,031.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.