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Finding the Fourth Proportional to 28,205.48, 42,315.90 and 9,740.20

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Solution

The fourth proportional to 28,205.48, 42,315.90 and 9,740.20 is: 14,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,205.48 : 42,315.90 = 9,740.20 : x
  2. Step 2: Convert to fraction form
    28,205.48/42,315.90 = 9,740.20/x
  3. Step 3: Cross multiply
    28,205.48x = 42,315.90 × 9,740.20
  4. Step 4: Simplify right side
    28,205.48x = 412,165,329.18
  5. Step 5: Solve for x
    x = 412,165,329.18/28,205.48
  6. Step 6: Final answer
    x = 14,612.95

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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.