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Finding the Fourth Proportional to 19,507.14, 29,263.14 and 6,355.98

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Solution

The fourth proportional to 19,507.14, 29,263.14 and 6,355.98 is: 9,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.14 : 29,263.14 = 6,355.98 : x
  2. Step 2: Convert to fraction form
    19,507.14/29,263.14 = 6,355.98/x
  3. Step 3: Cross multiply
    19,507.14x = 29,263.14 × 6,355.98
  4. Step 4: Simplify right side
    19,507.14x = 185,995,932.58
  5. Step 5: Solve for x
    x = 185,995,932.58/19,507.14
  6. Step 6: Final answer
    x = 9,534.76

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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.