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Finding the Fourth Proportional to 13,133.72, 19,699.14 and 3,899

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Solution

The fourth proportional to 13,133.72, 19,699.14 and 3,899 is: 5,848.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.72 : 19,699.14 = 3,899 : x
  2. Step 2: Convert to fraction form
    13,133.72/19,699.14 = 3,899/x
  3. Step 3: Cross multiply
    13,133.72x = 19,699.14 × 3,899
  4. Step 4: Simplify right side
    13,133.72x = 76,806,946.86
  5. Step 5: Solve for x
    x = 76,806,946.86/13,133.72
  6. Step 6: Final answer
    x = 5,848.07

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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.