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Finding the Fourth Proportional to 19,957.54, 29,935.20 and 6,106.54

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Solution

The fourth proportional to 19,957.54, 29,935.20 and 6,106.54 is: 9,159.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.54 : 29,935.20 = 6,106.54 : x
  2. Step 2: Convert to fraction form
    19,957.54/29,935.20 = 6,106.54/x
  3. Step 3: Cross multiply
    19,957.54x = 29,935.20 × 6,106.54
  4. Step 4: Simplify right side
    19,957.54x = 182,800,496.21
  5. Step 5: Solve for x
    x = 182,800,496.21/19,957.54
  6. Step 6: Final answer
    x = 9,159.47

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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.