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Finding the Fourth Proportional to 13,090.98, 19,640.13 and 4,332.06

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Solution

The fourth proportional to 13,090.98, 19,640.13 and 4,332.06 is: 6,499.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.98 : 19,640.13 = 4,332.06 : x
  2. Step 2: Convert to fraction form
    13,090.98/19,640.13 = 4,332.06/x
  3. Step 3: Cross multiply
    13,090.98x = 19,640.13 × 4,332.06
  4. Step 4: Simplify right side
    13,090.98x = 85,082,221.57
  5. Step 5: Solve for x
    x = 85,082,221.57/13,090.98
  6. Step 6: Final answer
    x = 6,499.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.