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Finding the Fourth Proportional to 23,203.60, 32,021.09 and 13,642.95

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Solution

The fourth proportional to 23,203.60, 32,021.09 and 13,642.95 is: 18,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.60 : 32,021.09 = 13,642.95 : x
  2. Step 2: Convert to fraction form
    23,203.60/32,021.09 = 13,642.95/x
  3. Step 3: Cross multiply
    23,203.60x = 32,021.09 × 13,642.95
  4. Step 4: Simplify right side
    23,203.60x = 436,862,129.82
  5. Step 5: Solve for x
    x = 436,862,129.82/23,203.60
  6. Step 6: Final answer
    x = 18,827.34

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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.