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Finding the Fourth Proportional to 19,534.98, 29,300.04 and 7,844.25

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Solution

The fourth proportional to 19,534.98, 29,300.04 and 7,844.25 is: 11,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.98 : 29,300.04 = 7,844.25 : x
  2. Step 2: Convert to fraction form
    19,534.98/29,300.04 = 7,844.25/x
  3. Step 3: Cross multiply
    19,534.98x = 29,300.04 × 7,844.25
  4. Step 4: Simplify right side
    19,534.98x = 229,836,838.77
  5. Step 5: Solve for x
    x = 229,836,838.77/19,534.98
  6. Step 6: Final answer
    x = 11,765.40

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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.