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Finding the Fourth Proportional to 26,160, 36,100.80 and 14,384

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Solution

The fourth proportional to 26,160, 36,100.80 and 14,384 is: 19,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,160 : 36,100.80 = 14,384 : x
  2. Step 2: Convert to fraction form
    26,160/36,100.80 = 14,384/x
  3. Step 3: Cross multiply
    26,160x = 36,100.80 × 14,384
  4. Step 4: Simplify right side
    26,160x = 519,273,907.20
  5. Step 5: Solve for x
    x = 519,273,907.20/26,160
  6. Step 6: Final answer
    x = 19,849.92

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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.