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Finding the Fourth Proportional to 23,595.30, 35,363.79 and 11,902.14

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Solution

The fourth proportional to 23,595.30, 35,363.79 and 11,902.14 is: 17,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,595.30 : 35,363.79 = 11,902.14 : x
  2. Step 2: Convert to fraction form
    23,595.30/35,363.79 = 11,902.14/x
  3. Step 3: Cross multiply
    23,595.30x = 35,363.79 × 11,902.14
  4. Step 4: Simplify right side
    23,595.30x = 420,904,779.51
  5. Step 5: Solve for x
    x = 420,904,779.51/23,595.30
  6. Step 6: Final answer
    x = 17,838.50

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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.