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Finding the Fourth Proportional to 19,853.64, 29,792.13 and 7,382.43

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Solution

The fourth proportional to 19,853.64, 29,792.13 and 7,382.43 is: 11,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,853.64 : 29,792.13 = 7,382.43 : x
  2. Step 2: Convert to fraction form
    19,853.64/29,792.13 = 7,382.43/x
  3. Step 3: Cross multiply
    19,853.64x = 29,792.13 × 7,382.43
  4. Step 4: Simplify right side
    19,853.64x = 219,938,314.28
  5. Step 5: Solve for x
    x = 219,938,314.28/19,853.64
  6. Step 6: Final answer
    x = 11,077.98

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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.