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Finding the Fourth Proportional to 21,948.24, 32,923.42 and 7,157.14

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Solution

The fourth proportional to 21,948.24, 32,923.42 and 7,157.14 is: 10,736.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,948.24 : 32,923.42 = 7,157.14 : x
  2. Step 2: Convert to fraction form
    21,948.24/32,923.42 = 7,157.14/x
  3. Step 3: Cross multiply
    21,948.24x = 32,923.42 × 7,157.14
  4. Step 4: Simplify right side
    21,948.24x = 235,637,526.22
  5. Step 5: Solve for x
    x = 235,637,526.22/21,948.24
  6. Step 6: Final answer
    x = 10,736.06

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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.