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Finding the Fourth Proportional to 23,784.88, 32,825.56 and 13,713.68

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Solution

The fourth proportional to 23,784.88, 32,825.56 and 13,713.68 is: 18,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,784.88 : 32,825.56 = 13,713.68 : x
  2. Step 2: Convert to fraction form
    23,784.88/32,825.56 = 13,713.68/x
  3. Step 3: Cross multiply
    23,784.88x = 32,825.56 × 13,713.68
  4. Step 4: Simplify right side
    23,784.88x = 450,159,225.66
  5. Step 5: Solve for x
    x = 450,159,225.66/23,784.88
  6. Step 6: Final answer
    x = 18,926.28

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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.