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Finding the Fourth Proportional to 21,124.42, 31,688.34 and 5,542

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Solution

The fourth proportional to 21,124.42, 31,688.34 and 5,542 is: 8,313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.42 : 31,688.34 = 5,542 : x
  2. Step 2: Convert to fraction form
    21,124.42/31,688.34 = 5,542/x
  3. Step 3: Cross multiply
    21,124.42x = 31,688.34 × 5,542
  4. Step 4: Simplify right side
    21,124.42x = 175,616,780.28
  5. Step 5: Solve for x
    x = 175,616,780.28/21,124.42
  6. Step 6: Final answer
    x = 8,313.45

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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.