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Finding the Fourth Proportional to 19,659.90, 29,502 and 7,973.22

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Solution

The fourth proportional to 19,659.90, 29,502 and 7,973.22 is: 11,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.90 : 29,502 = 7,973.22 : x
  2. Step 2: Convert to fraction form
    19,659.90/29,502 = 7,973.22/x
  3. Step 3: Cross multiply
    19,659.90x = 29,502 × 7,973.22
  4. Step 4: Simplify right side
    19,659.90x = 235,225,936.44
  5. Step 5: Solve for x
    x = 235,225,936.44/19,659.90
  6. Step 6: Final answer
    x = 11,964.76

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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.