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Finding the Fourth Proportional to 17,835.21, 24,613.97 and 9,878.18

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Solution

The fourth proportional to 17,835.21, 24,613.97 and 9,878.18 is: 13,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.21 : 24,613.97 = 9,878.18 : x
  2. Step 2: Convert to fraction form
    17,835.21/24,613.97 = 9,878.18/x
  3. Step 3: Cross multiply
    17,835.21x = 24,613.97 × 9,878.18
  4. Step 4: Simplify right side
    17,835.21x = 243,141,053.71
  5. Step 5: Solve for x
    x = 243,141,053.71/17,835.21
  6. Step 6: Final answer
    x = 13,632.64

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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.