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Finding the Fourth Proportional to 28,205.12, 42,308.16 and 10,683.20

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Solution

The fourth proportional to 28,205.12, 42,308.16 and 10,683.20 is: 16,024.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.12 : 42,308.16 = 10,683.20 : x
  2. Step 2: Convert to fraction form
    28,205.12/42,308.16 = 10,683.20/x
  3. Step 3: Cross multiply
    28,205.12x = 42,308.16 × 10,683.20
  4. Step 4: Simplify right side
    28,205.12x = 451,986,534.91
  5. Step 5: Solve for x
    x = 451,986,534.91/28,205.12
  6. Step 6: Final answer
    x = 16,024.98

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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.