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Finding the Fourth Proportional to 16,186.61, 24,294.34 and 8,294.50

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Solution

The fourth proportional to 16,186.61, 24,294.34 and 8,294.50 is: 12,449.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.61 : 24,294.34 = 8,294.50 : x
  2. Step 2: Convert to fraction form
    16,186.61/24,294.34 = 8,294.50/x
  3. Step 3: Cross multiply
    16,186.61x = 24,294.34 × 8,294.50
  4. Step 4: Simplify right side
    16,186.61x = 201,509,443.87
  5. Step 5: Solve for x
    x = 201,509,443.87/16,186.61
  6. Step 6: Final answer
    x = 12,449.14

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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.