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Finding the Fourth Proportional to 28,127.10, 42,182.84 and 8,400.98

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Solution

The fourth proportional to 28,127.10, 42,182.84 and 8,400.98 is: 12,599.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,127.10 : 42,182.84 = 8,400.98 : x
  2. Step 2: Convert to fraction form
    28,127.10/42,182.84 = 8,400.98/x
  3. Step 3: Cross multiply
    28,127.10x = 42,182.84 × 8,400.98
  4. Step 4: Simplify right side
    28,127.10x = 354,377,195.18
  5. Step 5: Solve for x
    x = 354,377,195.18/28,127.10
  6. Step 6: Final answer
    x = 12,599.14

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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.