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Finding the Fourth Proportional to 14,597.91, 20,137.14 and 12,706.16

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Solution

The fourth proportional to 14,597.91, 20,137.14 and 12,706.16 is: 17,527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.91 : 20,137.14 = 12,706.16 : x
  2. Step 2: Convert to fraction form
    14,597.91/20,137.14 = 12,706.16/x
  3. Step 3: Cross multiply
    14,597.91x = 20,137.14 × 12,706.16
  4. Step 4: Simplify right side
    14,597.91x = 255,865,622.10
  5. Step 5: Solve for x
    x = 255,865,622.10/14,597.91
  6. Step 6: Final answer
    x = 17,527.55

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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.