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Finding the Fourth Proportional to 19,482, 29,209.92 and 9,627.60

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Solution

The fourth proportional to 19,482, 29,209.92 and 9,627.60 is: 14,434.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,482 : 29,209.92 = 9,627.60 : x
  2. Step 2: Convert to fraction form
    19,482/29,209.92 = 9,627.60/x
  3. Step 3: Cross multiply
    19,482x = 29,209.92 × 9,627.60
  4. Step 4: Simplify right side
    19,482x = 281,221,425.79
  5. Step 5: Solve for x
    x = 281,221,425.79/19,482
  6. Step 6: Final answer
    x = 14,434.94

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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.