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Finding the Fourth Proportional to 13,984.61, 19,298.75 and 7,696.98

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Solution

The fourth proportional to 13,984.61, 19,298.75 and 7,696.98 is: 10,621.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.61 : 19,298.75 = 7,696.98 : x
  2. Step 2: Convert to fraction form
    13,984.61/19,298.75 = 7,696.98/x
  3. Step 3: Cross multiply
    13,984.61x = 19,298.75 × 7,696.98
  4. Step 4: Simplify right side
    13,984.61x = 148,542,054.29
  5. Step 5: Solve for x
    x = 148,542,054.29/13,984.61
  6. Step 6: Final answer
    x = 10,621.83

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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.