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Finding the Fourth Proportional to 13,586.40, 20,384.03 and 6,567.22

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Solution

The fourth proportional to 13,586.40, 20,384.03 and 6,567.22 is: 9,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,586.40 : 20,384.03 = 6,567.22 : x
  2. Step 2: Convert to fraction form
    13,586.40/20,384.03 = 6,567.22/x
  3. Step 3: Cross multiply
    13,586.40x = 20,384.03 × 6,567.22
  4. Step 4: Simplify right side
    13,586.40x = 133,866,409.50
  5. Step 5: Solve for x
    x = 133,866,409.50/13,586.40
  6. Step 6: Final answer
    x = 9,852.97

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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.