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Finding the Fourth Proportional to 13,526.65, 20,292.19 and 4,166.67

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Solution

The fourth proportional to 13,526.65, 20,292.19 and 4,166.67 is: 6,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,526.65 : 20,292.19 = 4,166.67 : x
  2. Step 2: Convert to fraction form
    13,526.65/20,292.19 = 4,166.67/x
  3. Step 3: Cross multiply
    13,526.65x = 20,292.19 × 4,166.67
  4. Step 4: Simplify right side
    13,526.65x = 84,550,753.77
  5. Step 5: Solve for x
    x = 84,550,753.77/13,526.65
  6. Step 6: Final answer
    x = 6,250.68

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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.