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Finding the Fourth Proportional to 13,999.68, 19,319.55 and 7,712.04

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Solution

The fourth proportional to 13,999.68, 19,319.55 and 7,712.04 is: 10,642.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,999.68 : 19,319.55 = 7,712.04 : x
  2. Step 2: Convert to fraction form
    13,999.68/19,319.55 = 7,712.04/x
  3. Step 3: Cross multiply
    13,999.68x = 19,319.55 × 7,712.04
  4. Step 4: Simplify right side
    13,999.68x = 148,993,142.38
  5. Step 5: Solve for x
    x = 148,993,142.38/13,999.68
  6. Step 6: Final answer
    x = 10,642.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.