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Finding the Fourth Proportional to 26,516, 36,592.08 and 15,338

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Solution

The fourth proportional to 26,516, 36,592.08 and 15,338 is: 21,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,516 : 36,592.08 = 15,338 : x
  2. Step 2: Convert to fraction form
    26,516/36,592.08 = 15,338/x
  3. Step 3: Cross multiply
    26,516x = 36,592.08 × 15,338
  4. Step 4: Simplify right side
    26,516x = 561,249,323.04
  5. Step 5: Solve for x
    x = 561,249,323.04/26,516
  6. Step 6: Final answer
    x = 21,166.44

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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.