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Finding the Fourth Proportional to 17,357.25, 26,035.95 and 4,209.65

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Solution

The fourth proportional to 17,357.25, 26,035.95 and 4,209.65 is: 6,314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,357.25 : 26,035.95 = 4,209.65 : x
  2. Step 2: Convert to fraction form
    17,357.25/26,035.95 = 4,209.65/x
  3. Step 3: Cross multiply
    17,357.25x = 26,035.95 × 4,209.65
  4. Step 4: Simplify right side
    17,357.25x = 109,602,106.74
  5. Step 5: Solve for x
    x = 109,602,106.74/17,357.25
  6. Step 6: Final answer
    x = 6,314.49

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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.