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Finding the Fourth Proportional to 16,078.84, 24,126.49 and 7,654.87

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Solution

The fourth proportional to 16,078.84, 24,126.49 and 7,654.87 is: 11,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.84 : 24,126.49 = 7,654.87 : x
  2. Step 2: Convert to fraction form
    16,078.84/24,126.49 = 7,654.87/x
  3. Step 3: Cross multiply
    16,078.84x = 24,126.49 × 7,654.87
  4. Step 4: Simplify right side
    16,078.84x = 184,685,144.51
  5. Step 5: Solve for x
    x = 184,685,144.51/16,078.84
  6. Step 6: Final answer
    x = 11,486.22

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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.