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Finding the Fourth Proportional to 26,157, 36,097.02 and 14,220.34

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Solution

The fourth proportional to 26,157, 36,097.02 and 14,220.34 is: 19,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,157 : 36,097.02 = 14,220.34 : x
  2. Step 2: Convert to fraction form
    26,157/36,097.02 = 14,220.34/x
  3. Step 3: Cross multiply
    26,157x = 36,097.02 × 14,220.34
  4. Step 4: Simplify right side
    26,157x = 513,311,897.39
  5. Step 5: Solve for x
    x = 513,311,897.39/26,157
  6. Step 6: Final answer
    x = 19,624.26

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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.