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Finding the Fourth Proportional to 21,506.47, 32,241.93 and 9,490.06

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Solution

The fourth proportional to 21,506.47, 32,241.93 and 9,490.06 is: 14,227.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,506.47 : 32,241.93 = 9,490.06 : x
  2. Step 2: Convert to fraction form
    21,506.47/32,241.93 = 9,490.06/x
  3. Step 3: Cross multiply
    21,506.47x = 32,241.93 × 9,490.06
  4. Step 4: Simplify right side
    21,506.47x = 305,977,850.22
  5. Step 5: Solve for x
    x = 305,977,850.22/21,506.47
  6. Step 6: Final answer
    x = 14,227.25

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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.