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Finding the Fourth Proportional to 17,630.16, 26,425.80 and 7,233

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Solution

The fourth proportional to 17,630.16, 26,425.80 and 7,233 is: 10,841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.16 : 26,425.80 = 7,233 : x
  2. Step 2: Convert to fraction form
    17,630.16/26,425.80 = 7,233/x
  3. Step 3: Cross multiply
    17,630.16x = 26,425.80 × 7,233
  4. Step 4: Simplify right side
    17,630.16x = 191,137,811.40
  5. Step 5: Solve for x
    x = 191,137,811.40/17,630.16
  6. Step 6: Final answer
    x = 10,841.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.