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Finding the Fourth Proportional to 17,757.74, 24,506.48 and 10,206.52

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Solution

The fourth proportional to 17,757.74, 24,506.48 and 10,206.52 is: 14,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757.74 : 24,506.48 = 10,206.52 : x
  2. Step 2: Convert to fraction form
    17,757.74/24,506.48 = 10,206.52/x
  3. Step 3: Cross multiply
    17,757.74x = 24,506.48 × 10,206.52
  4. Step 4: Simplify right side
    17,757.74x = 250,125,878.25
  5. Step 5: Solve for x
    x = 250,125,878.25/17,757.74
  6. Step 6: Final answer
    x = 14,085.46

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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.