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Finding the Fourth Proportional to 26,124, 36,051.12 and 14,946

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Solution

The fourth proportional to 26,124, 36,051.12 and 14,946 is: 20,625.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,124 : 36,051.12 = 14,946 : x
  2. Step 2: Convert to fraction form
    26,124/36,051.12 = 14,946/x
  3. Step 3: Cross multiply
    26,124x = 36,051.12 × 14,946
  4. Step 4: Simplify right side
    26,124x = 538,820,039.52
  5. Step 5: Solve for x
    x = 538,820,039.52/26,124
  6. Step 6: Final answer
    x = 20,625.48

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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.