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Finding the Fourth Proportional to 21,010.83, 31,516.25 and 12,139.67

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Solution

The fourth proportional to 21,010.83, 31,516.25 and 12,139.67 is: 18,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,010.83 : 31,516.25 = 12,139.67 : x
  2. Step 2: Convert to fraction form
    21,010.83/31,516.25 = 12,139.67/x
  3. Step 3: Cross multiply
    21,010.83x = 31,516.25 × 12,139.67
  4. Step 4: Simplify right side
    21,010.83x = 382,596,656.36
  5. Step 5: Solve for x
    x = 382,596,656.36/21,010.83
  6. Step 6: Final answer
    x = 18,209.50

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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.