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Finding the Fourth Proportional to 17,852.66, 24,636.29 and 9,894.81

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Solution

The fourth proportional to 17,852.66, 24,636.29 and 9,894.81 is: 13,654.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,852.66 : 24,636.29 = 9,894.81 : x
  2. Step 2: Convert to fraction form
    17,852.66/24,636.29 = 9,894.81/x
  3. Step 3: Cross multiply
    17,852.66x = 24,636.29 × 9,894.81
  4. Step 4: Simplify right side
    17,852.66x = 243,771,451.57
  5. Step 5: Solve for x
    x = 243,771,451.57/17,852.66
  6. Step 6: Final answer
    x = 13,654.63

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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.