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Finding the Fourth Proportional to 26,076.04, 35,978.10 and 15,468.04

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Solution

The fourth proportional to 26,076.04, 35,978.10 and 15,468.04 is: 21,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,076.04 : 35,978.10 = 15,468.04 : x
  2. Step 2: Convert to fraction form
    26,076.04/35,978.10 = 15,468.04/x
  3. Step 3: Cross multiply
    26,076.04x = 35,978.10 × 15,468.04
  4. Step 4: Simplify right side
    26,076.04x = 556,510,689.92
  5. Step 5: Solve for x
    x = 556,510,689.92/26,076.04
  6. Step 6: Final answer
    x = 21,341.84

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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.