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Finding the Fourth Proportional to 23,201.99, 32,018.40 and 13,642.95

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Solution

The fourth proportional to 23,201.99, 32,018.40 and 13,642.95 is: 18,827.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.99 : 32,018.40 = 13,642.95 : x
  2. Step 2: Convert to fraction form
    23,201.99/32,018.40 = 13,642.95/x
  3. Step 3: Cross multiply
    23,201.99x = 32,018.40 × 13,642.95
  4. Step 4: Simplify right side
    23,201.99x = 436,825,430.28
  5. Step 5: Solve for x
    x = 436,825,430.28/23,201.99
  6. Step 6: Final answer
    x = 18,827.07

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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.