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Finding the Fourth Proportional to 21,338.64, 31,955.31 and 15,916.05

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Solution

The fourth proportional to 21,338.64, 31,955.31 and 15,916.05 is: 23,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,338.64 : 31,955.31 = 15,916.05 : x
  2. Step 2: Convert to fraction form
    21,338.64/31,955.31 = 15,916.05/x
  3. Step 3: Cross multiply
    21,338.64x = 31,955.31 × 15,916.05
  4. Step 4: Simplify right side
    21,338.64x = 508,602,311.73
  5. Step 5: Solve for x
    x = 508,602,311.73/21,338.64
  6. Step 6: Final answer
    x = 23,834.80

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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.