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Finding the Fourth Proportional to 19,525.68, 29,281.05 and 8,431.47

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Solution

The fourth proportional to 19,525.68, 29,281.05 and 8,431.47 is: 12,643.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,525.68 : 29,281.05 = 8,431.47 : x
  2. Step 2: Convert to fraction form
    19,525.68/29,281.05 = 8,431.47/x
  3. Step 3: Cross multiply
    19,525.68x = 29,281.05 × 8,431.47
  4. Step 4: Simplify right side
    19,525.68x = 246,882,294.64
  5. Step 5: Solve for x
    x = 246,882,294.64/19,525.68
  6. Step 6: Final answer
    x = 12,643.98

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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.