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Finding the Fourth Proportional to 14,019.58, 19,346.88 and 7,731.96

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Solution

The fourth proportional to 14,019.58, 19,346.88 and 7,731.96 is: 10,670.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.58 : 19,346.88 = 7,731.96 : x
  2. Step 2: Convert to fraction form
    14,019.58/19,346.88 = 7,731.96/x
  3. Step 3: Cross multiply
    14,019.58x = 19,346.88 × 7,731.96
  4. Step 4: Simplify right side
    14,019.58x = 149,589,302.28
  5. Step 5: Solve for x
    x = 149,589,302.28/14,019.58
  6. Step 6: Final answer
    x = 10,670.03

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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.