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Finding the Fourth Proportional to 19,510.93, 29,241.78 and 8,406.46

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Solution

The fourth proportional to 19,510.93, 29,241.78 and 8,406.46 is: 12,599.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,510.93 : 29,241.78 = 8,406.46 : x
  2. Step 2: Convert to fraction form
    19,510.93/29,241.78 = 8,406.46/x
  3. Step 3: Cross multiply
    19,510.93x = 29,241.78 × 8,406.46
  4. Step 4: Simplify right side
    19,510.93x = 245,819,853.90
  5. Step 5: Solve for x
    x = 245,819,853.90/19,510.93
  6. Step 6: Final answer
    x = 12,599.08

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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.