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Finding the Fourth Proportional to 19,671.18, 29,497.86 and 7,189.08

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Solution

The fourth proportional to 19,671.18, 29,497.86 and 7,189.08 is: 10,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.18 : 29,497.86 = 7,189.08 : x
  2. Step 2: Convert to fraction form
    19,671.18/29,497.86 = 7,189.08/x
  3. Step 3: Cross multiply
    19,671.18x = 29,497.86 × 7,189.08
  4. Step 4: Simplify right side
    19,671.18x = 212,062,475.37
  5. Step 5: Solve for x
    x = 212,062,475.37/19,671.18
  6. Step 6: Final answer
    x = 10,780.36

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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.