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Finding the Fourth Proportional to 21,617.60, 32,435.93 and 9,146.23

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Solution

The fourth proportional to 21,617.60, 32,435.93 and 9,146.23 is: 13,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,617.60 : 32,435.93 = 9,146.23 : x
  2. Step 2: Convert to fraction form
    21,617.60/32,435.93 = 9,146.23/x
  3. Step 3: Cross multiply
    21,617.60x = 32,435.93 × 9,146.23
  4. Step 4: Simplify right side
    21,617.60x = 296,666,476.04
  5. Step 5: Solve for x
    x = 296,666,476.04/21,617.60
  6. Step 6: Final answer
    x = 13,723.38

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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.