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Finding the Fourth Proportional to 13,984.28, 19,298.16 and 7,696.52

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Solution

The fourth proportional to 13,984.28, 19,298.16 and 7,696.52 is: 10,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.28 : 19,298.16 = 7,696.52 : x
  2. Step 2: Convert to fraction form
    13,984.28/19,298.16 = 7,696.52/x
  3. Step 3: Cross multiply
    13,984.28x = 19,298.16 × 7,696.52
  4. Step 4: Simplify right side
    13,984.28x = 148,528,674.40
  5. Step 5: Solve for x
    x = 148,528,674.40/13,984.28
  6. Step 6: Final answer
    x = 10,621.12

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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.