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Finding the Fourth Proportional to 23,813.71, 32,862.77 and 13,203.34

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Solution

The fourth proportional to 23,813.71, 32,862.77 and 13,203.34 is: 18,220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.71 : 32,862.77 = 13,203.34 : x
  2. Step 2: Convert to fraction form
    23,813.71/32,862.77 = 13,203.34/x
  3. Step 3: Cross multiply
    23,813.71x = 32,862.77 × 13,203.34
  4. Step 4: Simplify right side
    23,813.71x = 433,898,259.64
  5. Step 5: Solve for x
    x = 433,898,259.64/23,813.71
  6. Step 6: Final answer
    x = 18,220.52

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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.