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Finding the Fourth Proportional to 19,830.98, 29,738.75 and 9,963.38

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Solution

The fourth proportional to 19,830.98, 29,738.75 and 9,963.38 is: 14,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.98 : 29,738.75 = 9,963.38 : x
  2. Step 2: Convert to fraction form
    19,830.98/29,738.75 = 9,963.38/x
  3. Step 3: Cross multiply
    19,830.98x = 29,738.75 × 9,963.38
  4. Step 4: Simplify right side
    19,830.98x = 296,298,268.46
  5. Step 5: Solve for x
    x = 296,298,268.46/19,830.98
  6. Step 6: Final answer
    x = 14,941.19

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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.