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Finding the Fourth Proportional to 17,885.62, 24,681.64 and 9,819.26

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Solution

The fourth proportional to 17,885.62, 24,681.64 and 9,819.26 is: 13,550.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.62 : 24,681.64 = 9,819.26 : x
  2. Step 2: Convert to fraction form
    17,885.62/24,681.64 = 9,819.26/x
  3. Step 3: Cross multiply
    17,885.62x = 24,681.64 × 9,819.26
  4. Step 4: Simplify right side
    17,885.62x = 242,355,440.39
  5. Step 5: Solve for x
    x = 242,355,440.39/17,885.62
  6. Step 6: Final answer
    x = 13,550.30

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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.