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Finding the Fourth Proportional to 20,693.61, 31,045.28 and 5,902.74

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Solution

The fourth proportional to 20,693.61, 31,045.28 and 5,902.74 is: 8,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.61 : 31,045.28 = 5,902.74 : x
  2. Step 2: Convert to fraction form
    20,693.61/31,045.28 = 5,902.74/x
  3. Step 3: Cross multiply
    20,693.61x = 31,045.28 × 5,902.74
  4. Step 4: Simplify right side
    20,693.61x = 183,252,186.55
  5. Step 5: Solve for x
    x = 183,252,186.55/20,693.61
  6. Step 6: Final answer
    x = 8,855.50

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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.