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Finding the Fourth Proportional to 21,665.93, 32,492.43 and 9,185.75

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Solution

The fourth proportional to 21,665.93, 32,492.43 and 9,185.75 is: 13,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.93 : 32,492.43 = 9,185.75 : x
  2. Step 2: Convert to fraction form
    21,665.93/32,492.43 = 9,185.75/x
  3. Step 3: Cross multiply
    21,665.93x = 32,492.43 × 9,185.75
  4. Step 4: Simplify right side
    21,665.93x = 298,467,130.48
  5. Step 5: Solve for x
    x = 298,467,130.48/21,665.93
  6. Step 6: Final answer
    x = 13,775.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.