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Finding the Fourth Proportional to 13,969.29, 19,278.05 and 7,681.89

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Solution

The fourth proportional to 13,969.29, 19,278.05 and 7,681.89 is: 10,601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.29 : 19,278.05 = 7,681.89 : x
  2. Step 2: Convert to fraction form
    13,969.29/19,278.05 = 7,681.89/x
  3. Step 3: Cross multiply
    13,969.29x = 19,278.05 × 7,681.89
  4. Step 4: Simplify right side
    13,969.29x = 148,091,821.11
  5. Step 5: Solve for x
    x = 148,091,821.11/13,969.29
  6. Step 6: Final answer
    x = 10,601.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.