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Finding the Fourth Proportional to 23,787.99, 32,827.80 and 13,032.69

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Solution

The fourth proportional to 23,787.99, 32,827.80 and 13,032.69 is: 17,985.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787.99 : 32,827.80 = 13,032.69 : x
  2. Step 2: Convert to fraction form
    23,787.99/32,827.80 = 13,032.69/x
  3. Step 3: Cross multiply
    23,787.99x = 32,827.80 × 13,032.69
  4. Step 4: Simplify right side
    23,787.99x = 427,834,540.78
  5. Step 5: Solve for x
    x = 427,834,540.78/23,787.99
  6. Step 6: Final answer
    x = 17,985.32

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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.