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Finding the Fourth Proportional to 13,984.49, 19,298.64 and 7,696.87

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Solution

The fourth proportional to 13,984.49, 19,298.64 and 7,696.87 is: 10,621.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.49 : 19,298.64 = 7,696.87 : x
  2. Step 2: Convert to fraction form
    13,984.49/19,298.64 = 7,696.87/x
  3. Step 3: Cross multiply
    13,984.49x = 19,298.64 × 7,696.87
  4. Step 4: Simplify right side
    13,984.49x = 148,539,123.26
  5. Step 5: Solve for x
    x = 148,539,123.26/13,984.49
  6. Step 6: Final answer
    x = 10,621.70

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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.