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Finding the Fourth Proportional to 13,950.54, 19,253.10 and 7,983.06

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Solution

The fourth proportional to 13,950.54, 19,253.10 and 7,983.06 is: 11,017.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,950.54 : 19,253.10 = 7,983.06 : x
  2. Step 2: Convert to fraction form
    13,950.54/19,253.10 = 7,983.06/x
  3. Step 3: Cross multiply
    13,950.54x = 19,253.10 × 7,983.06
  4. Step 4: Simplify right side
    13,950.54x = 153,698,652.49
  5. Step 5: Solve for x
    x = 153,698,652.49/13,950.54
  6. Step 6: Final answer
    x = 11,017.40

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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.