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Finding the Fourth Proportional to 17,810.23, 24,578.24 and 9,852.59

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Solution

The fourth proportional to 17,810.23, 24,578.24 and 9,852.59 is: 13,596.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.23 : 24,578.24 = 9,852.59 : x
  2. Step 2: Convert to fraction form
    17,810.23/24,578.24 = 9,852.59/x
  3. Step 3: Cross multiply
    17,810.23x = 24,578.24 × 9,852.59
  4. Step 4: Simplify right side
    17,810.23x = 242,159,195.57
  5. Step 5: Solve for x
    x = 242,159,195.57/17,810.23
  6. Step 6: Final answer
    x = 13,596.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.