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Finding the Fourth Proportional to 19,801.94, 29,699.19 and 9,938.57

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Solution

The fourth proportional to 19,801.94, 29,699.19 and 9,938.57 is: 14,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.94 : 29,699.19 = 9,938.57 : x
  2. Step 2: Convert to fraction form
    19,801.94/29,699.19 = 9,938.57/x
  3. Step 3: Cross multiply
    19,801.94x = 29,699.19 × 9,938.57
  4. Step 4: Simplify right side
    19,801.94x = 295,167,478.76
  5. Step 5: Solve for x
    x = 295,167,478.76/19,801.94
  6. Step 6: Final answer
    x = 14,905.99

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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.