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Finding the Fourth Proportional to 19,731.25, 29,602.01 and 5,880.25

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Solution

The fourth proportional to 19,731.25, 29,602.01 and 5,880.25 is: 8,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731.25 : 29,602.01 = 5,880.25 : x
  2. Step 2: Convert to fraction form
    19,731.25/29,602.01 = 5,880.25/x
  3. Step 3: Cross multiply
    19,731.25x = 29,602.01 × 5,880.25
  4. Step 4: Simplify right side
    19,731.25x = 174,067,219.30
  5. Step 5: Solve for x
    x = 174,067,219.30/19,731.25
  6. Step 6: Final answer
    x = 8,821.91

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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.