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Finding the Fourth Proportional to 13,099, 19,652.16 and 4,340.08

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Solution

The fourth proportional to 13,099, 19,652.16 and 4,340.08 is: 6,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099 : 19,652.16 = 4,340.08 : x
  2. Step 2: Convert to fraction form
    13,099/19,652.16 = 4,340.08/x
  3. Step 3: Cross multiply
    13,099x = 19,652.16 × 4,340.08
  4. Step 4: Simplify right side
    13,099x = 85,291,946.57
  5. Step 5: Solve for x
    x = 85,291,946.57/13,099
  6. Step 6: Final answer
    x = 6,511.33

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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.