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Finding the Fourth Proportional to 12,909.23, 19,369.77 and 7,654.66

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Solution

The fourth proportional to 12,909.23, 19,369.77 and 7,654.66 is: 11,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,909.23 : 19,369.77 = 7,654.66 : x
  2. Step 2: Convert to fraction form
    12,909.23/19,369.77 = 7,654.66/x
  3. Step 3: Cross multiply
    12,909.23x = 19,369.77 × 7,654.66
  4. Step 4: Simplify right side
    12,909.23x = 148,268,926.50
  5. Step 5: Solve for x
    x = 148,268,926.50/12,909.23
  6. Step 6: Final answer
    x = 11,485.50

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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.