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Finding the Fourth Proportional to 13,894.69, 19,174.67 and 7,607.06

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Solution

The fourth proportional to 13,894.69, 19,174.67 and 7,607.06 is: 10,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.69 : 19,174.67 = 7,607.06 : x
  2. Step 2: Convert to fraction form
    13,894.69/19,174.67 = 7,607.06/x
  3. Step 3: Cross multiply
    13,894.69x = 19,174.67 × 7,607.06
  4. Step 4: Simplify right side
    13,894.69x = 145,862,932.12
  5. Step 5: Solve for x
    x = 145,862,932.12/13,894.69
  6. Step 6: Final answer
    x = 10,497.75

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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.