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Finding the Fourth Proportional to 23,082.84, 34,591.86 and 9,925.32

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Solution

The fourth proportional to 23,082.84, 34,591.86 and 9,925.32 is: 14,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.84 : 34,591.86 = 9,925.32 : x
  2. Step 2: Convert to fraction form
    23,082.84/34,591.86 = 9,925.32/x
  3. Step 3: Cross multiply
    23,082.84x = 34,591.86 × 9,925.32
  4. Step 4: Simplify right side
    23,082.84x = 343,335,279.90
  5. Step 5: Solve for x
    x = 343,335,279.90/23,082.84
  6. Step 6: Final answer
    x = 14,874.05

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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.