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Finding the Fourth Proportional to 17,630.84, 24,330.38 and 9,673.08

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Solution

The fourth proportional to 17,630.84, 24,330.38 and 9,673.08 is: 13,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.84 : 24,330.38 = 9,673.08 : x
  2. Step 2: Convert to fraction form
    17,630.84/24,330.38 = 9,673.08/x
  3. Step 3: Cross multiply
    17,630.84x = 24,330.38 × 9,673.08
  4. Step 4: Simplify right side
    17,630.84x = 235,349,712.17
  5. Step 5: Solve for x
    x = 235,349,712.17/17,630.84
  6. Step 6: Final answer
    x = 13,348.75

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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.