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Finding the Fourth Proportional to 21,130.92, 31,698.18 and 5,548.50

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Solution

The fourth proportional to 21,130.92, 31,698.18 and 5,548.50 is: 8,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,130.92 : 31,698.18 = 5,548.50 : x
  2. Step 2: Convert to fraction form
    21,130.92/31,698.18 = 5,548.50/x
  3. Step 3: Cross multiply
    21,130.92x = 31,698.18 × 5,548.50
  4. Step 4: Simplify right side
    21,130.92x = 175,877,351.73
  5. Step 5: Solve for x
    x = 175,877,351.73/21,130.92
  6. Step 6: Final answer
    x = 8,323.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.