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Finding the Fourth Proportional to 26,145, 36,080.33 and 14,208.34

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Solution

The fourth proportional to 26,145, 36,080.33 and 14,208.34 is: 19,607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,145 : 36,080.33 = 14,208.34 : x
  2. Step 2: Convert to fraction form
    26,145/36,080.33 = 14,208.34/x
  3. Step 3: Cross multiply
    26,145x = 36,080.33 × 14,208.34
  4. Step 4: Simplify right side
    26,145x = 512,641,541.27
  5. Step 5: Solve for x
    x = 512,641,541.27/26,145
  6. Step 6: Final answer
    x = 19,607.63

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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.