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Finding the Fourth Proportional to 19,706.10, 27,188.10 and 14,041.80

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Solution

The fourth proportional to 19,706.10, 27,188.10 and 14,041.80 is: 19,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.10 : 27,188.10 = 14,041.80 : x
  2. Step 2: Convert to fraction form
    19,706.10/27,188.10 = 14,041.80/x
  3. Step 3: Cross multiply
    19,706.10x = 27,188.10 × 14,041.80
  4. Step 4: Simplify right side
    19,706.10x = 381,769,862.58
  5. Step 5: Solve for x
    x = 381,769,862.58/19,706.10
  6. Step 6: Final answer
    x = 19,373.18

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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.