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Finding the Fourth Proportional to 13,706.40, 19,232.70 and 13,706.40

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Solution

The fourth proportional to 13,706.40, 19,232.70 and 13,706.40 is: 19,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.40 : 19,232.70 = 13,706.40 : x
  2. Step 2: Convert to fraction form
    13,706.40/19,232.70 = 13,706.40/x
  3. Step 3: Cross multiply
    13,706.40x = 19,232.70 × 13,706.40
  4. Step 4: Simplify right side
    13,706.40x = 263,611,079.28
  5. Step 5: Solve for x
    x = 263,611,079.28/13,706.40
  6. Step 6: Final answer
    x = 19,232.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.