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Finding the Fourth Proportional to 19,691.59, 29,518.71 and 7,852.64

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Solution

The fourth proportional to 19,691.59, 29,518.71 and 7,852.64 is: 11,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,691.59 : 29,518.71 = 7,852.64 : x
  2. Step 2: Convert to fraction form
    19,691.59/29,518.71 = 7,852.64/x
  3. Step 3: Cross multiply
    19,691.59x = 29,518.71 × 7,852.64
  4. Step 4: Simplify right side
    19,691.59x = 231,799,616.04
  5. Step 5: Solve for x
    x = 231,799,616.04/19,691.59
  6. Step 6: Final answer
    x = 11,771.50

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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.