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Finding the Fourth Proportional to 21,118.50, 31,684.71 and 7,085.13

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Solution

The fourth proportional to 21,118.50, 31,684.71 and 7,085.13 is: 10,630.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,118.50 : 31,684.71 = 7,085.13 : x
  2. Step 2: Convert to fraction form
    21,118.50/31,684.71 = 7,085.13/x
  3. Step 3: Cross multiply
    21,118.50x = 31,684.71 × 7,085.13
  4. Step 4: Simplify right side
    21,118.50x = 224,490,289.36
  5. Step 5: Solve for x
    x = 224,490,289.36/21,118.50
  6. Step 6: Final answer
    x = 10,630.03

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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.