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Finding the Fourth Proportional to 20,694.34, 31,036.04 and 5,904.10

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Solution

The fourth proportional to 20,694.34, 31,036.04 and 5,904.10 is: 8,854.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,694.34 : 31,036.04 = 5,904.10 : x
  2. Step 2: Convert to fraction form
    20,694.34/31,036.04 = 5,904.10/x
  3. Step 3: Cross multiply
    20,694.34x = 31,036.04 × 5,904.10
  4. Step 4: Simplify right side
    20,694.34x = 183,239,699.06
  5. Step 5: Solve for x
    x = 183,239,699.06/20,694.34
  6. Step 6: Final answer
    x = 8,854.58

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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.