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Finding the Fourth Proportional to 20,938.85, 31,412.91 and 6,898.31

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Solution

The fourth proportional to 20,938.85, 31,412.91 and 6,898.31 is: 10,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,938.85 : 31,412.91 = 6,898.31 : x
  2. Step 2: Convert to fraction form
    20,938.85/31,412.91 = 6,898.31/x
  3. Step 3: Cross multiply
    20,938.85x = 31,412.91 × 6,898.31
  4. Step 4: Simplify right side
    20,938.85x = 216,696,154.48
  5. Step 5: Solve for x
    x = 216,696,154.48/20,938.85
  6. Step 6: Final answer
    x = 10,349.00

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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.