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Finding the Fourth Proportional to 28,140.38, 42,211.98 and 8,419.10

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Solution

The fourth proportional to 28,140.38, 42,211.98 and 8,419.10 is: 12,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,140.38 : 42,211.98 = 8,419.10 : x
  2. Step 2: Convert to fraction form
    28,140.38/42,211.98 = 8,419.10/x
  3. Step 3: Cross multiply
    28,140.38x = 42,211.98 × 8,419.10
  4. Step 4: Simplify right side
    28,140.38x = 355,386,880.82
  5. Step 5: Solve for x
    x = 355,386,880.82/28,140.38
  6. Step 6: Final answer
    x = 12,629.07

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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.