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Finding the Fourth Proportional to 20,107.65, 30,026.07 and 16,417.08

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Solution

The fourth proportional to 20,107.65, 30,026.07 and 16,417.08 is: 24,515.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,107.65 : 30,026.07 = 16,417.08 : x
  2. Step 2: Convert to fraction form
    20,107.65/30,026.07 = 16,417.08/x
  3. Step 3: Cross multiply
    20,107.65x = 30,026.07 × 16,417.08
  4. Step 4: Simplify right side
    20,107.65x = 492,940,393.28
  5. Step 5: Solve for x
    x = 492,940,393.28/20,107.65
  6. Step 6: Final answer
    x = 24,515.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.