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Finding the Fourth Proportional to 26,145.04, 39,224.16 and 7,677.04

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Solution

The fourth proportional to 26,145.04, 39,224.16 and 7,677.04 is: 11,517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,145.04 : 39,224.16 = 7,677.04 : x
  2. Step 2: Convert to fraction form
    26,145.04/39,224.16 = 7,677.04/x
  3. Step 3: Cross multiply
    26,145.04x = 39,224.16 × 7,677.04
  4. Step 4: Simplify right side
    26,145.04x = 301,125,445.29
  5. Step 5: Solve for x
    x = 301,125,445.29/26,145.04
  6. Step 6: Final answer
    x = 11,517.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.