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Finding the Fourth Proportional to 13,047.29, 19,573.97 and 4,281.67

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Solution

The fourth proportional to 13,047.29, 19,573.97 and 4,281.67 is: 6,423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.29 : 19,573.97 = 4,281.67 : x
  2. Step 2: Convert to fraction form
    13,047.29/19,573.97 = 4,281.67/x
  3. Step 3: Cross multiply
    13,047.29x = 19,573.97 × 4,281.67
  4. Step 4: Simplify right side
    13,047.29x = 83,809,209.79
  5. Step 5: Solve for x
    x = 83,809,209.79/13,047.29
  6. Step 6: Final answer
    x = 6,423.50

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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.