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Finding the Fourth Proportional to 13,706.19, 20,460.11 and 12,045.48

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Solution

The fourth proportional to 13,706.19, 20,460.11 and 12,045.48 is: 17,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.19 : 20,460.11 = 12,045.48 : x
  2. Step 2: Convert to fraction form
    13,706.19/20,460.11 = 12,045.48/x
  3. Step 3: Cross multiply
    13,706.19x = 20,460.11 × 12,045.48
  4. Step 4: Simplify right side
    13,706.19x = 246,451,785.58
  5. Step 5: Solve for x
    x = 246,451,785.58/13,706.19
  6. Step 6: Final answer
    x = 17,981.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.