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Finding the Fourth Proportional to 27,082.32, 40,594.84 and 9,307.40

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Solution

The fourth proportional to 27,082.32, 40,594.84 and 9,307.40 is: 13,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,082.32 : 40,594.84 = 9,307.40 : x
  2. Step 2: Convert to fraction form
    27,082.32/40,594.84 = 9,307.40/x
  3. Step 3: Cross multiply
    27,082.32x = 40,594.84 × 9,307.40
  4. Step 4: Simplify right side
    27,082.32x = 377,832,413.82
  5. Step 5: Solve for x
    x = 377,832,413.82/27,082.32
  6. Step 6: Final answer
    x = 13,951.26

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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.