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Finding the Fourth Proportional to 11,774.84, 17,623.80 and 8,654.02

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Solution

The fourth proportional to 11,774.84, 17,623.80 and 8,654.02 is: 12,952.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.84 : 17,623.80 = 8,654.02 : x
  2. Step 2: Convert to fraction form
    11,774.84/17,623.80 = 8,654.02/x
  3. Step 3: Cross multiply
    11,774.84x = 17,623.80 × 8,654.02
  4. Step 4: Simplify right side
    11,774.84x = 152,516,673.62
  5. Step 5: Solve for x
    x = 152,516,673.62/11,774.84
  6. Step 6: Final answer
    x = 12,952.77

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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.