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Finding the Fourth Proportional to 13,980.84, 19,294.36 and 8,013.50

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Solution

The fourth proportional to 13,980.84, 19,294.36 and 8,013.50 is: 11,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,980.84 : 19,294.36 = 8,013.50 : x
  2. Step 2: Convert to fraction form
    13,980.84/19,294.36 = 8,013.50/x
  3. Step 3: Cross multiply
    13,980.84x = 19,294.36 × 8,013.50
  4. Step 4: Simplify right side
    13,980.84x = 154,615,382.06
  5. Step 5: Solve for x
    x = 154,615,382.06/13,980.84
  6. Step 6: Final answer
    x = 11,059.09

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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.