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Finding the Fourth Proportional to 13,412.30, 20,099.64 and 11,427.50

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Solution

The fourth proportional to 13,412.30, 20,099.64 and 11,427.50 is: 17,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.30 : 20,099.64 = 11,427.50 : x
  2. Step 2: Convert to fraction form
    13,412.30/20,099.64 = 11,427.50/x
  3. Step 3: Cross multiply
    13,412.30x = 20,099.64 × 11,427.50
  4. Step 4: Simplify right side
    13,412.30x = 229,688,636.10
  5. Step 5: Solve for x
    x = 229,688,636.10/13,412.30
  6. Step 6: Final answer
    x = 17,125.22

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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.