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Finding the Fourth Proportional to 21,194.84, 31,762.15 and 15,604.32

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Solution

The fourth proportional to 21,194.84, 31,762.15 and 15,604.32 is: 23,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,194.84 : 31,762.15 = 15,604.32 : x
  2. Step 2: Convert to fraction form
    21,194.84/31,762.15 = 15,604.32/x
  3. Step 3: Cross multiply
    21,194.84x = 31,762.15 × 15,604.32
  4. Step 4: Simplify right side
    21,194.84x = 495,626,787.14
  5. Step 5: Solve for x
    x = 495,626,787.14/21,194.84
  6. Step 6: Final answer
    x = 23,384.31

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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.