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Finding the Fourth Proportional to 21,938.40, 32,911.56 and 7,146

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Solution

The fourth proportional to 21,938.40, 32,911.56 and 7,146 is: 10,720.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938.40 : 32,911.56 = 7,146 : x
  2. Step 2: Convert to fraction form
    21,938.40/32,911.56 = 7,146/x
  3. Step 3: Cross multiply
    21,938.40x = 32,911.56 × 7,146
  4. Step 4: Simplify right side
    21,938.40x = 235,186,007.76
  5. Step 5: Solve for x
    x = 235,186,007.76/21,938.40
  6. Step 6: Final answer
    x = 10,720.29

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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.