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Finding the Fourth Proportional to 19,592.16, 29,376.12 and 6,441

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Solution

The fourth proportional to 19,592.16, 29,376.12 and 6,441 is: 9,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,592.16 : 29,376.12 = 6,441 : x
  2. Step 2: Convert to fraction form
    19,592.16/29,376.12 = 6,441/x
  3. Step 3: Cross multiply
    19,592.16x = 29,376.12 × 6,441
  4. Step 4: Simplify right side
    19,592.16x = 189,211,588.92
  5. Step 5: Solve for x
    x = 189,211,588.92/19,592.16
  6. Step 6: Final answer
    x = 9,657.52

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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.