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Finding the Fourth Proportional to 24,435.84, 36,646.08 and 8,016

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Solution

The fourth proportional to 24,435.84, 36,646.08 and 8,016 is: 12,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.84 : 36,646.08 = 8,016 : x
  2. Step 2: Convert to fraction form
    24,435.84/36,646.08 = 8,016/x
  3. Step 3: Cross multiply
    24,435.84x = 36,646.08 × 8,016
  4. Step 4: Simplify right side
    24,435.84x = 293,754,977.28
  5. Step 5: Solve for x
    x = 293,754,977.28/24,435.84
  6. Step 6: Final answer
    x = 12,021.48

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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.