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Finding the Fourth Proportional to 18,853.84, 26,014.92 and 12,226

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Solution

The fourth proportional to 18,853.84, 26,014.92 and 12,226 is: 16,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,853.84 : 26,014.92 = 12,226 : x
  2. Step 2: Convert to fraction form
    18,853.84/26,014.92 = 12,226/x
  3. Step 3: Cross multiply
    18,853.84x = 26,014.92 × 12,226
  4. Step 4: Simplify right side
    18,853.84x = 318,058,411.92
  5. Step 5: Solve for x
    x = 318,058,411.92/18,853.84
  6. Step 6: Final answer
    x = 16,869.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.