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Finding the Fourth Proportional to 24,436.84, 36,647.58 and 8,017

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Solution

The fourth proportional to 24,436.84, 36,647.58 and 8,017 is: 12,022.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,436.84 : 36,647.58 = 8,017 : x
  2. Step 2: Convert to fraction form
    24,436.84/36,647.58 = 8,017/x
  3. Step 3: Cross multiply
    24,436.84x = 36,647.58 × 8,017
  4. Step 4: Simplify right side
    24,436.84x = 293,803,648.86
  5. Step 5: Solve for x
    x = 293,803,648.86/24,436.84
  6. Step 6: Final answer
    x = 12,022.98

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1.5x scale

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.