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Finding the Fourth Proportional to 14,706.16, 20,296.92 and 10,740.40

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Solution

The fourth proportional to 14,706.16, 20,296.92 and 10,740.40 is: 14,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.16 : 20,296.92 = 10,740.40 : x
  2. Step 2: Convert to fraction form
    14,706.16/20,296.92 = 10,740.40/x
  3. Step 3: Cross multiply
    14,706.16x = 20,296.92 × 10,740.40
  4. Step 4: Simplify right side
    14,706.16x = 217,997,039.57
  5. Step 5: Solve for x
    x = 217,997,039.57/14,706.16
  6. Step 6: Final answer
    x = 14,823.52

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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.