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Finding the Fourth Proportional to 23,893.79, 32,969.54 and 13,283.15

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Solution

The fourth proportional to 23,893.79, 32,969.54 and 13,283.15 is: 18,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,893.79 : 32,969.54 = 13,283.15 : x
  2. Step 2: Convert to fraction form
    23,893.79/32,969.54 = 13,283.15/x
  3. Step 3: Cross multiply
    23,893.79x = 32,969.54 × 13,283.15
  4. Step 4: Simplify right side
    23,893.79x = 437,939,213.61
  5. Step 5: Solve for x
    x = 437,939,213.61/23,893.79
  6. Step 6: Final answer
    x = 18,328.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.