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Finding the Fourth Proportional to 26,434, 36,478.92 and 14,658

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Solution

The fourth proportional to 26,434, 36,478.92 and 14,658 is: 20,228.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,434 : 36,478.92 = 14,658 : x
  2. Step 2: Convert to fraction form
    26,434/36,478.92 = 14,658/x
  3. Step 3: Cross multiply
    26,434x = 36,478.92 × 14,658
  4. Step 4: Simplify right side
    26,434x = 534,708,009.36
  5. Step 5: Solve for x
    x = 534,708,009.36/26,434
  6. Step 6: Final answer
    x = 20,228.04

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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.