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Finding the Fourth Proportional to 18,209.70, 25,129.86 and 10,252.22

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Solution

The fourth proportional to 18,209.70, 25,129.86 and 10,252.22 is: 14,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.70 : 25,129.86 = 10,252.22 : x
  2. Step 2: Convert to fraction form
    18,209.70/25,129.86 = 10,252.22/x
  3. Step 3: Cross multiply
    18,209.70x = 25,129.86 × 10,252.22
  4. Step 4: Simplify right side
    18,209.70x = 257,636,727.64
  5. Step 5: Solve for x
    x = 257,636,727.64/18,209.70
  6. Step 6: Final answer
    x = 14,148.32

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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.